Mathematics and Computers in Simulation

Article	Citations
Honey Badger Algorithm: New metaheuristic algorithm for solving optimization problems	648
Application of the residue number system to reduce hardware costs of the convolutional neural network implementation	324
N-soliton solution and the Hirota condition of a (2+1)-dimensional com	139
Gannet optimization algorithm : A new metaheuristic algorithm for solving engineering optimization problems	133
Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method	127
Nonlinear dissipative slip flow of Jeffrey nanomaterial towards a curved surface with entropy generation and activation energy	114
A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves	100
Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes	100
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	94
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	88
A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations	81
Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux	80
Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation	77
Color multiple image encryption scheme based on 3D-chaotic maps	76
Evaluating the unsteady MHD micropolar fluid flow past stretching/shirking sheet with heat source and thermal radiation: Implementing fourth order predictor–corrector FDM	76
Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells	71
GEPSO: A new generalized particle swarm optimization algorithm	69
A novel image encryption algorithm based on SPWLCM and DNA coding	69
Characteristics of thermophoresis and Brownian motion on radiative reactive micropolar fluid flow towards continuously moving flat plate: HAM solution	67
A chaotic strategy-based quadratic Opposition-Based Learning adaptive variable-speed whale optimization algorithm	66
An efficient image encryption scheme based on chaotic and Deoxyribonucleic acid sequencing	65
Secure image encryption scheme based on a new robust chaotic map and strong S-box	64
M-lump solution, soliton solution and rational solution to a (3+1)-d	61
Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein–Uhlenbeck process	61

Nature-inspired approach: An enhanced whale optimization algorithm for global optimization	61
A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 60
A delayed fractional order food chain model with fear effect and prey refuge	58
An artificial neural network-based forecasting model of energy-related time series for electrical grid management	58
Homotopy perturbation method for strongly nonlinear oscillators	57
A three-dimensional bit-level image encryption algorithm with Rubik’s cube method	56
Chaotic hunger games search optimization algorithm for global optimization and engineering problems	56
Improvement of heat transfer mechanism through a Maxwell fluid flow over a stretching sheet embedded in a porous medium and convectively heated	55
A parallel image encryption algorithm using intra bitplane scrambling	55
The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system	53
Dual-wave solutions for the quadratic–cubic conformable-Caputo time-fractional Klein–Fock–Gordon equation	52
Using a genetic algorithm to fit parameters of a COVID-19 SEIR model for US states	52
Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence	52
Finite-time stability analysis of fractional-order memristive fuzzy cellular neural networks with time delay and leakage term	51
On the fluid flow and heat transfer between a cone and a disk both stationary or rotating	51
Optimal pricing policy in a three-layer dual-channel supply chain under government subsidy in green manufacturing	51
Comparison of echo state network and feed-forward neural networks in electrical load forecasting for demand response programs	49
A novel version of slime mould algorithm for global optimization and real world engineering problems	48
A robust simulation-optimization approach for pre-disaster multi-period location–allocation–inventory planning	48
A cluster of 1D quadratic chaotic map and its applications in image encryption	48
Unsteady MHD radiative-dissipative flow of Cu-Al2	47
Global exponential synchronization of high-order quaternion Hopfield neural networks with unbounded distributed delays and time-varying discrete delays	47
A delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperation	47
On group analysis of the time fractional extended (2+1)-dimensional Zakharov–Kuznetsov equation in quantum magneto-plasmas	46
Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations	46
Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu’s oscillatory systems	46
Stability switching and chaos in a multiple delayed prey–predator model with fear effect and anti-predator behavior	46
Monotonicity theorem for the uncertain fractional differential equation and application to uncertain financial market	45
Finite difference method for solving fractional differential equations at irregular meshes	45
Analytical solution and numerical simulation of the generalized Levèque equation to predict the thermal boundary layer	45
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	44
A computational approach for boundary layer flow and heat transfer of fractional Maxwell fluid	44
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
Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally	42
Chaos, Hopf bifurcation and control of a fractional-order delay financial system	42
Golden eagle optimizer with double learning strategies for 3D path planning of UAV in power inspection	42
Hybrid control design for Mittag-Leffler projective synchronization on FOQVNNs with multiple mixed delays and impulsive effects	41
Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations	39
A dynamic adaptive firefly algorithm with globally orientation	39
Neuro-evolution computing for nonlinear multi-singular system of third order Emden–Fowler equation	39
Bioconvective chemically reactive entropy optimized Cross-nano-material conveying oxytactic microorganisms over a flexible cylinder with Lorentz force and Arrhenius kinetics	38
Gas turbine monitoring using neural network dynamic nonlinear autoregressive with external exogenous input modelling	38
Role of fear in predator–prey system with intraspecific competition	38
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense	37
Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy	37
Local thermal non-equilibrium (LTNE) effects on thermal-free convection in a nanofluid-saturated horizontal elliptical non-Darcian porous annulus	37
An enhanced chimp optimization algorithm for optimal degree reduction of Said–Ball curves	36
Dynamics of a Leslie–Gower predator–prey model with Holling type II functional response, Allee effect and a generalist predator	36
Impact of fear in a delay-induced predator–prey system with intraspecific competition within predator species	36
Path planning for autonomous underwater vehicle based on an enhanced water wave optimization algorithm	36

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

Study of ferrofluid flow in a rotating system through mathematical modeling	22
A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression	22
A generalized finite difference method for solving elliptic interface problems	22
Application of modified extended tanh method in solving fractional order coupled wave equations	22
Legendre wavelet based numerical solution of variable latent heat moving boundary problem	21
Global synchronization of uncertain fractional-order BAM neural networks with time delay via improved fractional-order integral inequality	21
Shape characterization methods of irregular cavity using Fourier analysis in tunnel	21
Chebyshev spectral method for solving fuzzy fractional Fredholm–Volterra integro-differential equation	21
Couple stress ternary hybrid nanofluid flow in a contraction channel by means of drug delivery function	21
Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions	21
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media	21
Homotopy perturbation method with rank upgrading technique for the superior nonlinear oscillation	21
Application of improved meta-heuristic algorithms for green preservation technology management to optimize dynamical investments and replenishment strategies	21
A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game	20
Enhanced master–slave synchronization criteria for chaotic Lur’e systems based on time-delayed feedback control	20
A new operational matrix based on Müntz–Legendre polynomials for solving distributed order fractional differential equations	20
Modeling and simulation of micro-rotation and spin gradient viscosity for ferromagnetic hybrid (Manganese Zinc Ferrite, Nickle Zinc Ferrite) nanofluids	20
Barycentric interpolation collocation algorithm to solve fractional differential equations	20
Robust adaptive backstepping control of uncertain fractional-order nonlinear systems with input time delay	20
Memory sampled data control for switched-type neural networks and its application in image secure communications	20
Modelling of tree fires and fires transitioning from the forest floor to the canopy with a physics-based model	20
Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis	20
Design of continuous-time model reference adaptive and super-twisting sliding mode controller	19
Comparative analysis to study the Darcy–Forchheimer Tangent hyperbolic flow towards cylindrical surface using artificial neural network: An application to Parabolic Trough Solar Collector	19
Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2	19
Aspects of thermal diffusivity and melting phenomenon in Carreau nanofluid flow confined by nonlinear stretching cylinder with convective Marangoni boundary constraints	19
General escape criteria for the generation of fractals in extended Jungck–Noor orbit	19
Influence of mixed convection nanofluid flow over a rotating sphere in the presence of diffusion of liquid hydrogen and ammonia	19
Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes	19
Dual-channel supply chain coordination considering targeted capacity allocation under uncertainty	19
Ultrafast charging station for electrical vehicles: Dynamic modelling, design and control strategy	19
Stable propagation of optical solitons for nonlinear Schrödinger equation with dispersion and self phase modulation	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
Interval estimation of multicomponent stress–strength reliability based on inverse Weibull distribution	19
Stationary distribution and density function analysis of a stochastic epidemic HBV model	19
Analytic approximate solutions of the cubic–quintic Duffing–van​ der Pol equation with two-external periodic forcing terms: Stability analysis	19
A high order method for pricing of financial derivatives using Radial Basis Function generated Finite Differences	19
SEIR model with unreported infected population and dynamic parameters for the spread of COVID-19	19
Fractional-order PD control at Hopf bifurcation in a delayed predator–prey system with trans-species infectious diseases	19
Lattice Boltzmann simulation of natural convection in a square enclosure with discrete heating	18
Compromising with corrector step of SIMPLE Algorithm	18
Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-19	18
Maximal reproduction number estimation and identification of transmission rate from the first inflection point of new infectious cases waves: COVID-19 outbreak example	18
Inertial extragradient type method for mixed variational inequalities without monotonicity	18
A co-infection model on TB - COVID-19 with optimal control and sensitivity analysis	18
A new computational technique for the analytic treatment of time-fractional Emden–Fowler equations	18
Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods	18
L1/LDG method for the generalized time-fractional Burgers equation	18
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems	18
Two-grid methods for nonlinear time fractional diffusion equations by L	18
A transformed L1 method for so	18
Non-fragileL	17
Role of Allee effect in prey and hunting cooperation in a generalist predator	17
A validated dynamical model of a kW-class Vanadium Redox Flow Battery	17
A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions	17
New results on dynamics of neutral type HCNNs with proportional delays	17
Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model	17
Heuristic computing with sequential quadratic programming for solving a nonlinear hepatitis B virus model	17
A splitting method to solve a single nonlinear equation with derivative-free iterative schemes	17
Energy consumption prediction model with deep inception residual network inspiration and LSTM	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
Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model	17
Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses	17
Novel patterns in a class of fractional reaction–diffusion models with the Riesz fractional derivative	17
An algorithm for single- and multiple-runway aircraft landing problem	17
Application of Biomagnetic Fluid Dynamics modeling for simulation of flow with magnetic particles and variable fluid properties over a stretching cylinder	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
The Karush–Kuhn–Tucker (KKT) optimality conditions for fuzzy-valued fractional optimization problems	17
Practical identifiability of parametrised models: A review of benefits and limitations of various approaches	17
Quasi-synchronization analysis for fractional-order delayed complex dynamical networks	17
A second-order maximum bound principle preserving operator splitting method for the Allen–Cahn equation with applications in multi-phase systems	17
Robust measurement fusion steady-state estimator design for multisensor networked systems with random two-step transmission delays and missing measurements	17
Mathematical modeling and parameter estimation of unemployment with the impact of training programs	17
On three types of soft fuzzy coverings based rough sets	17
A mathematical model for the co-dynamics of COVID-19 and tuberculosis	17
Modeling green supply chain games with governmental interventions and risk preferences under fuzzy uncertainties	17
Improved Harris hawks optimization for non-convex function optimization and design optimization problems	17
Augmented fractional accumulation grey model and its application: Class ratio and restore error perspectives	16
An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane–Emden–Fowler type	16
Stability analysis of spline collocation methods for fractional differential equations	16
Investigating dual-channel green supply chain considering refurbishing process and product recycling with environmental awareness effort	16
A comparison study of two DC microgrid controls for a fast and stable DC bus voltage	16
Surrogate parametric metamodel based on Optimal Transport	16
Robust parameter estimation of a PEMFC via optimization based on probabilistic model building	16
Using particle swarm optimization and genetic algorithms for optimal control of non-linear fractional-order chaotic system of cancer cells	16
Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives	16
An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations	16
Modelling of fluid flow through porous media using memory approach: A review	16
Modelling and analysis of delayed tumour–immune system with hunting T-cells	16
A combined power activation function based convergent factor-variable ZNN model for solving dynamic matrix inversion	16
Numerical computation of magnetized bioconvection nanofluid flow with temperature-dependent viscosity and Arrhenius kinetic	16
Cubic B-spline Galerkin method for numerical solution of the coupled nonlinear Schrödinger equation	16
Stability analysis of a fractional online social network model	16