Mathematics and Computers in Simulation

Article	Citations
Honey Badger Algorithm: New metaheuristic algorithm for solving optimization problems	689
Application of the residue number system to reduce hardware costs of the convolutional neural network implementation	333
N-soliton solution and the Hirota condition of a (2+1)-dimensional com	140
Gannet optimization algorithm : A new metaheuristic algorithm for solving engineering optimization problems	138
Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method	130
Nonlinear dissipative slip flow of Jeffrey nanomaterial towards a curved surface with entropy generation and activation energy	115
Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes	103
A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves	103
Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm	98
Heuristic computing technique for numerical solutions of nonlinear fourth order Emden–Fowler equation	95
A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations	90
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 modeling	90
Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux	80
Color multiple image encryption scheme based on 3D-chaotic maps	80
Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation	78
Evaluating the unsteady MHD micropolar fluid flow past stretching/shirking sheet with heat source and thermal radiation: Implementing fourth order predictor–corrector FDM	77
Secure image encryption scheme based on a new robust chaotic map and strong S-box	75
Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells	74
A novel image encryption algorithm based on SPWLCM and DNA coding	73
GEPSO: A new generalized particle swarm optimization algorithm	72
Characteristics of thermophoresis and Brownian motion on radiative reactive micropolar fluid flow towards continuously moving flat plate: HAM solution	70
A chaotic strategy-based quadratic Opposition-Based Learning adaptive variable-speed whale optimization algorithm	69
An efficient image encryption scheme based on chaotic and Deoxyribonucleic acid sequencing	65
Nature-inspired approach: An enhanced whale optimization algorithm for global optimization	64
M-lump solution, soliton solution and rational solution to a (3+1)-d	64

Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein–Uhlenbeck process	63
A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 61
An artificial neural network-based forecasting model of energy-related time series for electrical grid management	60
A parallel image encryption algorithm using intra bitplane scrambling	60
A delayed fractional order food chain model with fear effect and prey refuge	58
A three-dimensional bit-level image encryption algorithm with Rubik’s cube method	58
Optimal pricing policy in a three-layer dual-channel supply chain under government subsidy in green manufacturing	57
Improvement of heat transfer mechanism through a Maxwell fluid flow over a stretching sheet embedded in a porous medium and convectively heated	57
Homotopy perturbation method for strongly nonlinear oscillators	57
A cluster of 1D quadratic chaotic map and its applications in image encryption	57
The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system	56
Chaotic hunger games search optimization algorithm for global optimization and engineering problems	56
Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence	56
Using a genetic algorithm to fit parameters of a COVID-19 SEIR model for US states	55
On the fluid flow and heat transfer between a cone and a disk both stationary or rotating	53
Comparison of echo state network and feed-forward neural networks in electrical load forecasting for demand response programs	52
Unsteady MHD radiative-dissipative flow of Cu-Al2	52
Dual-wave solutions for the quadratic–cubic conformable-Caputo time-fractional Klein–Fock–Gordon equation	52
A novel version of slime mould algorithm for global optimization and real world engineering problems	52
Finite-time stability analysis of fractional-order memristive fuzzy cellular neural networks with time delay and leakage term	52
A delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperation	50
A robust simulation-optimization approach for pre-disaster multi-period location–allocation–inventory planning	49
Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu’s oscillatory systems	47
Global exponential synchronization of high-order quaternion Hopfield neural networks with unbounded distributed delays and time-varying discrete delays	47
On group analysis of the time fractional extended (2+1)-dimensional Zakharov–Kuznetsov equation in quantum magneto-plasmas	47
Monotonicity theorem for the uncertain fractional differential equation and application to uncertain financial market	47
Stability switching and chaos in a multiple delayed prey–predator model with fear effect and anti-predator behavior	47
A computational approach for boundary layer flow and heat transfer of fractional Maxwell fluid	46
Analytical solution and numerical simulation of the generalized Levèque equation to predict the thermal boundary layer	46
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 method	45
Finite difference method for solving fractional differential equations at irregular meshes	45
Hybrid control design for Mittag-Leffler projective synchronization on FOQVNNs with multiple mixed delays and impulsive effects	44
Golden eagle optimizer with double learning strategies for 3D path planning of UAV in power inspection	43
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 simula	42
Chaos, Hopf bifurcation and control of a fractional-order delay financial system	42
Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally	42
Local thermal non-equilibrium (LTNE) effects on thermal-free convection in a nanofluid-saturated horizontal elliptical non-Darcian porous annulus	41
Orchard Algorithm (OA): A new meta-heuristic algorithm for solving discrete and continuous optimization problems	41
Neuro-evolution computing for nonlinear multi-singular system of third order Emden–Fowler equation	41
Bioconvective chemically reactive entropy optimized Cross-nano-material conveying oxytactic microorganisms over a flexible cylinder with Lorentz force and Arrhenius kinetics	41
Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy	40
A simulation–optimization model for solving flexible flow shop scheduling problems with rework and transportation	40
Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations	39
Path planning for autonomous underwater vehicle based on an enhanced water wave optimization algorithm	39
Brownian motion and thermophoresis behavior on micro-polar nano-fluid—A numerical outlook	38
Gas turbine monitoring using neural network dynamic nonlinear autoregressive with external exogenous input modelling	38
Dynamics of a Leslie–Gower predator–prey model with Holling type II functional response, Allee effect and a generalist predator	38
Role of fear in predator–prey system with intraspecific competition	38
Existence, uniqueness and global stability of Clifford-valued neutral-type neural networks with time delays	37
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense	37

Impact of optimal vaccination and social distancing on COVID-19 pandemic	37
Impact of fear in a delay-induced predator–prey system with intraspecific competition within predator species	36
The damping Helmholtz–Rayleigh–Duffing oscillator with the non-perturbative approach	36
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 fluid	36
Dealing with multi-modality using synthesis of Moth-flame optimizer with sine cosine mechanisms	36
An enhanced chimp optimization algorithm for optimal degree reduction of Said–Ball curves	36
Numerical investigation of heat transport in Alumina–Silica hybrid nanofluid flow with modeling and simulation	36
Signal recovery with convex constrained nonlinear monotone equations through conjugate gradient hybrid approach	35
A powerful approach to study the new modified coupled Korteweg–de Vries system	35
Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities	35
COVID-19 pandemic and chaos theory	35
Stochastic behavior of exchange rate on an international supply chain under random energy price	34
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 Methodology	34
Passive vehicle suspension system optimization using Harris Hawk Optimization algorithm	34
A generalized payment policy for deteriorating items when demand depends on price, stock, and advertisement under carbon tax regulations	34
Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs	34
Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D	34
Quantum-like mutation-induced dragonfly-inspired optimization approach	33
Design of evolutionary finite difference solver for numerical treatment of computer virus propagation with countermeasures model	33
Dynamic analysis and image encryption application of a sinusoidal-polynomial composite chaotic system	33
Trees Social Relations Optimization Algorithm: A new Swarm-Based metaheuristic technique to solve continuous and discrete optimization problems	33
Human urbanization algorithm: A novel metaheuristic approach	33
Adaptive levy-assisted salp swarm algorithm: Analysis and optimization case studies	33
Mathematical modeling, analysis and numerical simulation of HIV: The influence of stochastic environmental fluctuations on dynamics	32
Pattern formation induced by fractional cross-diffusion in a 3-species food chain model with harvesting	32
A fractal–fractional-order modified Predator–Prey mathematical model with immigrations	32
A fuzzy neural network-based fractional-order Lyapunov-based robust control strategy for exoskeleton robots: Application in upper-limb rehabilitation	31
A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems	30
Studies of different types of bifurcations analyses of an imprecise two species food chain model with fear effect and non-linear harvesting	30
Robust zeroing neural network for fixed-time kinematic control of wheeled mobile robot in noise-polluted environment	30
Periodic dynamics of rubella epidemic under standard and fractional Caputo operator with real data from Pakistan	30
Route optimization in township logistics distribution considering customer satisfaction based on adaptive genetic algorithm	30
Integrated intelligence of neuro-evolution with sequential quadratic programming for second-order Lane–Emden pantograph models	30
An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative	29
Cryptanalysis of hybrid secure image encryption based on Julia set fractals and three-dimensional Lorenz chaotic map	29
Numerical study on the combined effects of Brownian motion and thermophoresis on an unsteady magnetohydrodynamics nanofluid boundary layer flow	29
Function perturbation impact on stability in distribution of probabilistic Boolean networks	28
A novel improved whale optimization algorithm for optimization problems with multi-strategy and hybrid algorithm	28
Intelligent controller for nonholonomic wheeled mobile robot: A fuzzy path following combination	28
SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels	28
Mixed H∞	28
Aphid–Ant Mutualism: A novel nature-inspired​ metaheuristic algorithm for solving optimization problems	28
A novel spectral Galerkin/Petrov–Galerkin algorithm for the multi-dimensional space–time fractional advection–diffusion–reaction equations with nonsmooth solutions	27
Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation	27
Mathematical modelling of COVID-19: A case study of Italy	27
A locally stabilized radial basis function partition of unity technique for the sine–Gordon system in nonlinear optics	27
A novel reinforcement learning based tuna swarm optimization algorithm for autonomous underwater vehicle path planning	27
Solving fractional pantograph delay equations by an effective computational method	27
Advance image encryption technique utilizing compression, dynamical system and S-boxes	27
A numerical model coupling phase transformation to predict microstructure evolution and residual stress during quenching of 1045 steel	26
Interplay between epidemic and information spreading on multiplex networks	26
Evaluation and ranking of battery electric vehicles by Shannon’s entropy and TOPSIS methods	26
Finite-time event-triggered approach for recurrent neural networks with leakage term and its application	26
An improved adaptive fractional-order fast integral terminal sliding mode control for distributed quadrotor	26
Dynamics of a ratio-dependent Leslie–Gower predator–prey model with Allee effect and fear effect	26
Mathematical analysis of an extended SEIR model of COVID-19 using the ABC-fractional operator	25
Multiple-order line rogue wave solutions of extended Kadomtsev–Petviashvili equation	25
Evaluation of thermal cracks on fire exposed concrete structures using Ripplet​ transform	25
Solving nonlinear systems and unconstrained optimization problems by hybridizing whale optimization algorithm and flower pollination algorithm	25
Symmetry reductions, generalized solutions and dynamics of wave profiles for the (2+1)-dimensional system of Broer–Kaup–Kupershmidt (BKK) equations	25
Integrated electro-thermal model for pouch lithium ion batteries	24
Global synchronization of uncertain fractional-order BAM neural networks with time delay via improved fractional-order integral inequality	24
A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression	24
Improved salp swarm algorithm combined with chaos	24
Parameter optimization of software reliability models using improved differential evolution algorithm	24
Time dependent non-Newtonian nano-fluid (blood) flow in w-shape stenosed channel; with curvature effects	24
Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier	24
Exploring the behavior of malware propagation on mobile wireless sensor networks: Stability and control analysis	24
Quadratic interpolation boosted black widow spider-inspired optimization algorithm with wavelet mutation	24
Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation	24
Couple stress ternary hybrid nanofluid flow in a contraction channel by means of drug delivery function	24
Robust numerical method for singularly perturbed semilinear parabolic differential difference equations	24
Comparative analysis to study the Darcy–Forchheimer Tangent hyperbolic flow towards cylindrical surface using artificial neural network: An application to Parabolic Trough Solar Collector	23
A generalized finite difference method for solving elliptic interface problems	23
Optimized profitability of LFP and NMC Li-ion batteries in residential PV applications	23
Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation	23
Application of improved meta-heuristic algorithms for green preservation technology management to optimize dynamical investments and replenishment strategies	23
Stationary distribution and density function analysis of a stochastic epidemic HBV model	22
Study of ferrofluid flow in a rotating system through mathematical modeling	22
Stability analysis and highly accurate numerical approximation of Fisher’s equations using pseudospectral method	22

Memory sampled data control for switched-type neural networks and its application in image secure communications	22
Homotopy perturbation method with rank upgrading technique for the superior nonlinear oscillation	22
A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game	22
Stability and bifurcation analysis of a fractional predator–prey model involving two nonidentical delays	22
New results on exponential input-to-state stability analysis of memristor based complex-valued inertial neural networks with proportional and distributed delays	22
Application of modified extended tanh method in solving fractional order coupled wave equations	22
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media	22
Legendre wavelet based numerical solution of variable latent heat moving boundary problem	22
Fractional-order PD control at Hopf bifurcation in a delayed predator–prey system with trans-species infectious diseases	22
Two-grid methods for nonlinear time fractional diffusion equations by L	22
Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system	22
A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease	22
Influence of mixed convection nanofluid flow over a rotating sphere in the presence of diffusion of liquid hydrogen and ammonia	22
Chebyshev spectral method for solving fuzzy fractional Fredholm–Volterra integro-differential equation	22
Shape characterization methods of irregular cavity using Fourier analysis in tunnel	21
Role of Allee effect in prey and hunting cooperation in a generalist predator	21
General escape criteria for the generation of fractals in extended Jungck–Noor orbit	21
Design of continuous-time model reference adaptive and super-twisting sliding mode controller	21
SEIR model with unreported infected population and dynamic parameters for the spread of COVID-19	21
Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2	21
Robust adaptive backstepping control of uncertain fractional-order nonlinear systems with input time delay	21
Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis	21
Dual-channel supply chain coordination considering targeted capacity allocation under uncertainty	21
A new operational matrix based on Müntz–Legendre polynomials for solving distributed order fractional differential equations	21
Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions	21
Interval estimation of multicomponent stress–strength reliability based on inverse Weibull distribution	20
A co-infection model on TB - COVID-19 with optimal control and sensitivity analysis	20
Aspects of thermal diffusivity and melting phenomenon in Carreau nanofluid flow confined by nonlinear stretching cylinder with convective Marangoni boundary constraints	20
A transformed L1 method for so	20
Modeling and simulation of micro-rotation and spin gradient viscosity for ferromagnetic hybrid (Manganese Zinc Ferrite, Nickle Zinc Ferrite) nanofluids	20
Enhanced master–slave synchronization criteria for chaotic Lur’e systems based on time-delayed feedback control	20
Ultrafast charging station for electrical vehicles: Dynamic modelling, design and control strategy	20
A mathematical model for the co-dynamics of COVID-19 and tuberculosis	20
Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes	20
Barycentric interpolation collocation algorithm to solve fractional differential equations	20
Novel patterns in a class of fractional reaction–diffusion models with the Riesz fractional derivative	20
Heuristic computing with sequential quadratic programming for solving a nonlinear hepatitis B virus model	19
Stable propagation of optical solitons for nonlinear Schrödinger equation with dispersion and self phase modulation	19
Input-to-state stability of stochastic Markovian jump genetic regulatory networks	19
Modelling of fluid flow through porous media using memory approach: A review	19
Numerical solution of two-dimensional fractional-order reaction advection sub-diffusion equation with finite-difference Fibonacci collocation method	19
Mathematical analysis of stochastic epidemic model of MERS-corona & application of ergodic theory	19
Analytic approximate solutions of the cubic–quintic Duffing–van​ der Pol equation with two-external periodic forcing terms: Stability analysis	19
Maximal reproduction number estimation and identification of transmission rate from the first inflection point of new infectious cases waves: COVID-19 outbreak example	18
L1/LDG method for the generalized time-fractional Burgers equation	18
The Karush–Kuhn–Tucker (KKT) optimality conditions for fuzzy-valued fractional optimization problems	18
A new computational technique for the analytic treatment of time-fractional Emden–Fowler equations	18
Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-19	18
A second-order maximum bound principle preserving operator splitting method for the Allen–Cahn equation with applications in multi-phase systems	18
A splitting method to solve a single nonlinear equation with derivative-free iterative schemes	18
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems	18
Energy consumption prediction model with deep inception residual network inspiration and LSTM	18
Numerical computation of magnetized bioconvection nanofluid flow with temperature-dependent viscosity and Arrhenius kinetic	18
A high resolution Hermite wavelet technique for solving space–time-fractional partial differential equations	18
Inertial extragradient type method for mixed variational inequalities without monotonicity	18
Lattice Boltzmann simulation of natural convection in a square enclosure with discrete heating	18
Modeling green supply chain games with governmental interventions and risk preferences under fuzzy uncertainties	18
Compromising with corrector step of SIMPLE Algorithm	18
Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods	18
Practical identifiability of parametrised models: A review of benefits and limitations of various approaches	17
A validated dynamical model of a kW-class Vanadium Redox Flow Battery	17
Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model	17
Robust measurement fusion steady-state estimator design for multisensor networked systems with random two-step transmission delays and missing measurements	17
Diagnosis of breast cancer for modern mammography using artificial intelligence	17
Cost Optimization of an Unreliable server queue with two stage service process under hybrid vacation policy	17
Application of Biomagnetic Fluid Dynamics modeling for simulation of flow with magnetic particles and variable fluid properties over a stretching cylinder	17
An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane–Emden–Fowler type	17
Non-fragileL	17
Quasi-synchronization analysis for fractional-order delayed complex dynamical networks	17
Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses	17
Mathematical modeling and parameter estimation of unemployment with the impact of training programs	17
A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions	17
On three types of soft fuzzy coverings based rough sets	17
Stability analysis of a fractional online social network model	17
Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme	17
Research on customer opinion summarization using topic mining and deep neural network	17
Dynamics of nonlinear cantilever piezoelectric–mechanical system: An intelligent computational approach	17
Investigating dual-channel green supply chain considering refurbishing process and product recycling with environmental awareness effort	17
Stability analysis of spline collocation methods for fractional differential equations	17
New results on dynamics of neutral type HCNNs with proportional delays	17
A novel improved chef-based optimization algorithm with Gaussian random walk-based diffusion process for global optimization and engineering problems	17
Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model	17
Modelling and analysis of delayed tumour–immune system with hunting T-cells	17
Improved Harris hawks optimization for non-convex function optimization and design optimization problems	17
Using particle swarm optimization and genetic algorithms for optimal control of non-linear fractional-order chaotic system of cancer cells	16
A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains	16
An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations	16
A combined power activation function based convergent factor-variable ZNN model for solving dynamic matrix inversion	16
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 voltage	16
Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution	16
Robust parameter estimation of a PEMFC via optimization based on probabilistic model building	16
Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives	16
New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications	16
FPGA based effective agriculture productivity prediction system using fuzzy support vector machine	16