Mathematics and Computers in Simulation

Papers
(The median citation count of Mathematics and Computers in Simulation is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)
ArticleCitations
Honey Badger Algorithm: New metaheuristic algorithm for solving optimization problems699
Application of the residue number system to reduce hardware costs of the convolutional neural network implementation335
Gannet optimization algorithm : A new metaheuristic algorithm for solving engineering optimization problems141
N-soliton solution and the Hirota condition of a (2+1)-dimensional com140
Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method130
Nonlinear dissipative slip flow of Jeffrey nanomaterial towards a curved surface with entropy generation and activation energy115
A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves103
Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes103
Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm98
Heuristic computing technique for numerical solutions of nonlinear fourth order Emden–Fowler equation95
A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations90
Investigation of nanoparticles Cu, Ag and Fe3O4 on thermophoresis and viscous dissipation of MHD nanofluid over a stretching sheet in a porous regime: A numerical modeling90
Color multiple image encryption scheme based on 3D-chaotic maps80
Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux80
Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation78
Evaluating the unsteady MHD micropolar fluid flow past stretching/shirking sheet with heat source and thermal radiation: Implementing fourth order predictor–corrector FDM77
Secure image encryption scheme based on a new robust chaotic map and strong S-box75
A novel image encryption algorithm based on SPWLCM and DNA coding74
Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells74
GEPSO: A new generalized particle swarm optimization algorithm72
Characteristics of thermophoresis and Brownian motion on radiative reactive micropolar fluid flow towards continuously moving flat plate: HAM solution71
A chaotic strategy-based quadratic Opposition-Based Learning adaptive variable-speed whale optimization algorithm69
An efficient image encryption scheme based on chaotic and Deoxyribonucleic acid sequencing65
Nature-inspired approach: An enhanced whale optimization algorithm for global optimization64
M-lump solution, soliton solution and rational solution to a (3+1)-d64
Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein–Uhlenbeck process63
A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 61
A parallel image encryption algorithm using intra bitplane scrambling60
An artificial neural network-based forecasting model of energy-related time series for electrical grid management60
A three-dimensional bit-level image encryption algorithm with Rubik’s cube method58
A delayed fractional order food chain model with fear effect and prey refuge58
A cluster of 1D quadratic chaotic map and its applications in image encryption57
Homotopy perturbation method for strongly nonlinear oscillators57
Improvement of heat transfer mechanism through a Maxwell fluid flow over a stretching sheet embedded in a porous medium and convectively heated57
Optimal pricing policy in a three-layer dual-channel supply chain under government subsidy in green manufacturing57
Chaotic hunger games search optimization algorithm for global optimization and engineering problems56
Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence56
The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system56
Using a genetic algorithm to fit parameters of a COVID-19 SEIR model for US states55
On the fluid flow and heat transfer between a cone and a disk both stationary or rotating53
Unsteady MHD radiative-dissipative flow of Cu-Al252
Dual-wave solutions for the quadratic–cubic conformable-Caputo time-fractional Klein–Fock–Gordon equation52
A novel version of slime mould algorithm for global optimization and real world engineering problems52
Finite-time stability analysis of fractional-order memristive fuzzy cellular neural networks with time delay and leakage term52
Comparison of echo state network and feed-forward neural networks in electrical load forecasting for demand response programs52
A delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperation50
A robust simulation-optimization approach for pre-disaster multi-period location–allocation–inventory planning49
On group analysis of the time fractional extended (2+1)-dimensional Zakharov–Kuznetsov equation in quantum magneto-plasmas47
Monotonicity theorem for the uncertain fractional differential equation and application to uncertain financial market47
Stability switching and chaos in a multiple delayed prey–predator model with fear effect and anti-predator behavior47
Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu’s oscillatory systems47
Global exponential synchronization of high-order quaternion Hopfield neural networks with unbounded distributed delays and time-varying discrete delays47
A computational approach for boundary layer flow and heat transfer of fractional Maxwell fluid46
Analytical solution and numerical simulation of the generalized Levèque equation to predict the thermal boundary layer46
Finite difference method for solving fractional differential equations at irregular meshes45
Numerical investigation of MHD radiative heat and mass transfer of nanofluid flow towards a vertical wavy surface with viscous dissipation and Joule heating effects using Keller-box method45
Hybrid control design for Mittag-Leffler projective synchronization on FOQVNNs with multiple mixed delays and impulsive effects44
Orchard Algorithm (OA): A new meta-heuristic algorithm for solving discrete and continuous optimization problems43
Golden eagle optimizer with double learning strategies for 3D path planning of UAV in power inspection43
Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally42
Analyzing the interaction of hybrid base liquid C2H6O2–H2O with hybrid nano-material Ag–MoS2 for unsteady rotational flow referred to an elongated surface using modified Buongiorno’s model: FEM simula42
Chaos, Hopf bifurcation and control of a fractional-order delay financial system42
Bioconvective chemically reactive entropy optimized Cross-nano-material conveying oxytactic microorganisms over a flexible cylinder with Lorentz force and Arrhenius kinetics41
Local thermal non-equilibrium (LTNE) effects on thermal-free convection in a nanofluid-saturated horizontal elliptical non-Darcian porous annulus41
Neuro-evolution computing for nonlinear multi-singular system of third order Emden–Fowler equation41
A simulation–optimization model for solving flexible flow shop scheduling problems with rework and transportation40
Brownian motion and thermophoresis behavior on micro-polar nano-fluid—A numerical outlook40
Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy40
Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations39
Path planning for autonomous underwater vehicle based on an enhanced water wave optimization algorithm39
Role of fear in predator–prey system with intraspecific competition38
Dynamics of a Leslie–Gower predator–prey model with Holling type II functional response, Allee effect and a generalist predator38
Gas turbine monitoring using neural network dynamic nonlinear autoregressive with external exogenous input modelling38
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense37
Impact of optimal vaccination and social distancing on COVID-19 pandemic37
Existence, uniqueness and global stability of Clifford-valued neutral-type neural networks with time delays37
Numerical investigation of heat transport in Alumina–Silica hybrid nanofluid flow with modeling and simulation36
Dealing with multi-modality using synthesis of Moth-flame optimizer with sine cosine mechanisms36
An enhanced chimp optimization algorithm for optimal degree reduction of Said–Ball curves36
The damping Helmholtz–Rayleigh–Duffing oscillator with the non-perturbative approach36
Impact of fear in a delay-induced predator–prey system with intraspecific competition within predator species36
Insights into the dynamics of blood conveying gold nanoparticles on a curved surface when suction, thermal radiation, and Lorentz force are significant: The case of Non-Newtonian Williamson fluid36
A powerful approach to study the new modified coupled Korteweg–de Vries system35
Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities35
COVID-19 pandemic and chaos theory35
Signal recovery with convex constrained nonlinear monotone equations through conjugate gradient hybrid approach35
Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs34
Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D34
A generalized payment policy for deteriorating items when demand depends on price, stock, and advertisement under carbon tax regulations34
FEM solution to quadratic convective and radiative flow of Ag-MgO/H2O hybrid nanofluid over a rotating cone with Hall current: Optimization using Response Surface Methodology34
Stochastic behavior of exchange rate on an international supply chain under random energy price34
Passive vehicle suspension system optimization using Harris Hawk Optimization algorithm34
Human urbanization algorithm: A novel metaheuristic approach33
Adaptive levy-assisted salp swarm algorithm: Analysis and optimization case studies33
Dynamic analysis and image encryption application of a sinusoidal-polynomial composite chaotic system33
Design of evolutionary finite difference solver for numerical treatment of computer virus propagation with countermeasures model33
Quantum-like mutation-induced dragonfly-inspired optimization approach33
Trees Social Relations Optimization Algorithm: A new Swarm-Based metaheuristic technique to solve continuous and discrete optimization problems33
Pattern formation induced by fractional cross-diffusion in a 3-species food chain model with harvesting32
A fractal–fractional-order modified Predator–Prey mathematical model with immigrations32
Mathematical modeling, analysis and numerical simulation of HIV: The influence of stochastic environmental fluctuations on dynamics32
A fuzzy neural network-based fractional-order Lyapunov-based robust control strategy for exoskeleton robots: Application in upper-limb rehabilitation31
Route optimization in township logistics distribution considering customer satisfaction based on adaptive genetic algorithm30
Integrated intelligence of neuro-evolution with sequential quadratic programming for second-order Lane–Emden pantograph models30
A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems30
Studies of different types of bifurcations analyses of an imprecise two species food chain model with fear effect and non-linear harvesting30
Robust zeroing neural network for fixed-time kinematic control of wheeled mobile robot in noise-polluted environment30
Periodic dynamics of rubella epidemic under standard and fractional Caputo operator with real data from Pakistan30
An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative29
Numerical study on the combined effects of Brownian motion and thermophoresis on an unsteady magnetohydrodynamics nanofluid boundary layer flow29
Cryptanalysis of hybrid secure image encryption based on Julia set fractals and three-dimensional Lorenz chaotic map29
A locally stabilized radial basis function partition of unity technique for the sine–Gordon system in nonlinear optics29
Function perturbation impact on stability in distribution of probabilistic Boolean networks28
A novel improved whale optimization algorithm for optimization problems with multi-strategy and hybrid algorithm28
Intelligent controller for nonholonomic wheeled mobile robot: A fuzzy path following combination28
SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels28
Mixed H28
Aphid–Ant Mutualism: A novel nature-inspired​ metaheuristic algorithm for solving optimization problems28
A novel reinforcement learning based tuna swarm optimization algorithm for autonomous underwater vehicle path planning27
Solving fractional pantograph delay equations by an effective computational method27
A novel spectral Galerkin/Petrov–Galerkin algorithm for the multi-dimensional space–time fractional advection–diffusion–reaction equations with nonsmooth solutions27
Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation27
Mathematical modelling of COVID-19: A case study of Italy27
Advance image encryption technique utilizing compression, dynamical system and S-boxes27
An improved adaptive fractional-order fast integral terminal sliding mode control for distributed quadrotor26
Dynamics of a ratio-dependent Leslie–Gower predator–prey model with Allee effect and fear effect26
Evaluation and ranking of battery electric vehicles by Shannon’s entropy and TOPSIS methods26
Interplay between epidemic and information spreading on multiplex networks26
A numerical model coupling phase transformation to predict microstructure evolution and residual stress during quenching of 1045 steel26
Finite-time event-triggered approach for recurrent neural networks with leakage term and its application26
Evaluation of thermal cracks on fire exposed concrete structures using Ripplet​ transform25
Solving nonlinear systems and unconstrained optimization problems by hybridizing whale optimization algorithm and flower pollination algorithm25
Symmetry reductions, generalized solutions and dynamics of wave profiles for the (2+1)-dimensional system of Broer–Kaup–Kupershmidt (BKK) equations25
Mathematical analysis of an extended SEIR model of COVID-19 using the ABC-fractional operator25
Multiple-order line rogue wave solutions of extended Kadomtsev–Petviashvili equation25
Quadratic interpolation boosted black widow spider-inspired optimization algorithm with wavelet mutation24
Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation24
Couple stress ternary hybrid nanofluid flow in a contraction channel by means of drug delivery function24
Robust numerical method for singularly perturbed semilinear parabolic differential difference equations24
Integrated electro-thermal model for pouch lithium ion batteries24
Time dependent non-Newtonian nano-fluid (blood) flow in w-shape stenosed channel; with curvature effects24
A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression24
Improved salp swarm algorithm combined with chaos24
Parameter optimization of software reliability models using improved differential evolution algorithm24
Global synchronization of uncertain fractional-order BAM neural networks with time delay via improved fractional-order integral inequality24
Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier24
Exploring the behavior of malware propagation on mobile wireless sensor networks: Stability and control analysis24
Application of improved meta-heuristic algorithms for green preservation technology management to optimize dynamical investments and replenishment strategies23
Comparative analysis to study the Darcy–Forchheimer Tangent hyperbolic flow towards cylindrical surface using artificial neural network: An application to Parabolic Trough Solar Collector23
A generalized finite difference method for solving elliptic interface problems23
Optimized profitability of LFP and NMC Li-ion batteries in residential PV applications23
Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation23
Legendre wavelet based numerical solution of variable latent heat moving boundary problem22
Fractional-order PD control at Hopf bifurcation in a delayed predator–prey system with trans-species infectious diseases22
Two-grid methods for nonlinear time fractional diffusion equations by L22
Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system22
A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease22
Influence of mixed convection nanofluid flow over a rotating sphere in the presence of diffusion of liquid hydrogen and ammonia22
Chebyshev spectral method for solving fuzzy fractional Fredholm–Volterra integro-differential equation22
Stability and bifurcation analysis of a fractional predator–prey model involving two nonidentical delays22
Study of ferrofluid flow in a rotating system through mathematical modeling22
Stability analysis and highly accurate numerical approximation of Fisher’s equations using pseudospectral method22
Memory sampled data control for switched-type neural networks and its application in image secure communications22
Homotopy perturbation method with rank upgrading technique for the superior nonlinear oscillation22
A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game22
Stationary distribution and density function analysis of a stochastic epidemic HBV model22
New results on exponential input-to-state stability analysis of memristor based complex-valued inertial neural networks with proportional and distributed delays22
Application of modified extended tanh method in solving fractional order coupled wave equations22
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media22
Role of Allee effect in prey and hunting cooperation in a generalist predator21
Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis21
A new operational matrix based on Müntz–Legendre polynomials for solving distributed order fractional differential equations21
Robust adaptive backstepping control of uncertain fractional-order nonlinear systems with input time delay21
Design of continuous-time model reference adaptive and super-twisting sliding mode controller21
Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-221
Shape characterization methods of irregular cavity using Fourier analysis in tunnel21
General escape criteria for the generation of fractals in extended Jungck–Noor orbit21
Dual-channel supply chain coordination considering targeted capacity allocation under uncertainty21
SEIR model with unreported infected population and dynamic parameters for the spread of COVID-1921
Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions21
Interval estimation of multicomponent stress–strength reliability based on inverse Weibull distribution20
Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes20
Barycentric interpolation collocation algorithm to solve fractional differential equations20
A transformed L1 method for so20
Modeling and simulation of micro-rotation and spin gradient viscosity for ferromagnetic hybrid (Manganese Zinc Ferrite, Nickle Zinc Ferrite) nanofluids20
Enhanced master–slave synchronization criteria for chaotic Lur’e systems based on time-delayed feedback control20
Aspects of thermal diffusivity and melting phenomenon in Carreau nanofluid flow confined by nonlinear stretching cylinder with convective Marangoni boundary constraints20
A mathematical model for the co-dynamics of COVID-19 and tuberculosis20
A co-infection model on TB - COVID-19 with optimal control and sensitivity analysis20
Ultrafast charging station for electrical vehicles: Dynamic modelling, design and control strategy20
Novel patterns in a class of fractional reaction–diffusion models with the Riesz fractional derivative20
Stable propagation of optical solitons for nonlinear Schrödinger equation with dispersion and self phase modulation19
Input-to-state stability of stochastic Markovian jump genetic regulatory networks19
Modelling of fluid flow through porous media using memory approach: A review19
Numerical solution of two-dimensional fractional-order reaction advection sub-diffusion equation with finite-difference Fibonacci collocation method19
Mathematical analysis of stochastic epidemic model of MERS-corona & application of ergodic theory19
Analytic approximate solutions of the cubic–quintic Duffing–van​ der Pol equation with two-external periodic forcing terms: Stability analysis19
Heuristic computing with sequential quadratic programming for solving a nonlinear hepatitis B virus model19
L1/LDG method for the generalized time-fractional Burgers equation18
Modeling green supply chain games with governmental interventions and risk preferences under fuzzy uncertainties18
Compromising with corrector step of SIMPLE Algorithm18
Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-1918
A second-order maximum bound principle preserving operator splitting method for the Allen–Cahn equation with applications in multi-phase systems18
A splitting method to solve a single nonlinear equation with derivative-free iterative schemes18
A new computational technique for the analytic treatment of time-fractional Emden–Fowler equations18
The Karush–Kuhn–Tucker (KKT) optimality conditions for fuzzy-valued fractional optimization problems18
Numerical computation of magnetized bioconvection nanofluid flow with temperature-dependent viscosity and Arrhenius kinetic18
A high resolution Hermite wavelet technique for solving space–time-fractional partial differential equations18
Inertial extragradient type method for mixed variational inequalities without monotonicity18
Lattice Boltzmann simulation of natural convection in a square enclosure with discrete heating18
Energy consumption prediction model with deep inception residual network inspiration and LSTM18
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems18
Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods18
Maximal reproduction number estimation and identification of transmission rate from the first inflection point of new infectious cases waves: COVID-19 outbreak example18
Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model17
Robust measurement fusion steady-state estimator design for multisensor networked systems with random two-step transmission delays and missing measurements17
Cost Optimization of an Unreliable server queue with two stage service process under hybrid vacation policy17
On three types of soft fuzzy coverings based rough sets17
Application of Biomagnetic Fluid Dynamics modeling for simulation of flow with magnetic particles and variable fluid properties over a stretching cylinder17
An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane–Emden–Fowler type17
Non-fragileL17
Quasi-synchronization analysis for fractional-order delayed complex dynamical networks17
Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses17
Mathematical modeling and parameter estimation of unemployment with the impact of training programs17
A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions17
Diagnosis of breast cancer for modern mammography using artificial intelligence17
Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model17
Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme17
Research on customer opinion summarization using topic mining and deep neural network17
Dynamics of nonlinear cantilever piezoelectric–mechanical system: An intelligent computational approach17
Investigating dual-channel green supply chain considering refurbishing process and product recycling with environmental awareness effort17
Stability analysis of spline collocation methods for fractional differential equations17
New results on dynamics of neutral type HCNNs with proportional delays17
A novel improved chef-based optimization algorithm with Gaussian random walk-based diffusion process for global optimization and engineering problems17
Stability analysis of a fractional online social network model17
Modelling and analysis of delayed tumour–immune system with hunting T-cells17
Improved Harris hawks optimization for non-convex function optimization and design optimization problems17
Practical identifiability of parametrised models: A review of benefits and limitations of various approaches17
A validated dynamical model of a kW-class Vanadium Redox Flow Battery17
A neural networks-based numerical method for the generalized Caputo-type fractional differential equations16
A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains16
Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution16
Robust parameter estimation of a PEMFC via optimization based on probabilistic model building16
Integration of genetic algorithm tuned adaptive fading memory Kalman filter with model predictive controller for active fault-tolerant control of cement kiln under sensor faults with inaccurate noise 16
A comparison study of two DC microgrid controls for a fast and stable DC bus voltage16
FPGA based effective agriculture productivity prediction system using fuzzy support vector machine16
Using particle swarm optimization and genetic algorithms for optimal control of non-linear fractional-order chaotic system of cancer cells16
Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives16
New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications16
An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations16
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