International Journal of Computer Mathematics

Article	Citations
Spectral analysis of three invariants associated to random walks on rounded networks with 2n-pentagons	30
Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation	28
Identification and prediction of time-varying parameters of COVID-19 model: a data-driven deep learning approach	28
Major 2 Satisfiability Logic in Discrete Hopfield Neural Network	26
A novel approach to soft set theory in decision-making under uncertainty	26
Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre	26
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system	21
A novel computing stochastic algorithm to solve the nonlinear singular periodic boundary value problems	20
A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation	19
A noise-tolerant fast convergence ZNN for dynamic matrix inversion	17
Solving generalized polynomial problem by using new affine relaxed technique	16
An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems	16
A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines	16
A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration	15
A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models	15
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method	14
Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients	14
Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation	14
On the fractional calculus of multivariate Mittag-Leffler functions	13
A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications	12
A modified Hager-Zhang conjugate gradient method with optimal choices for solving monotone nonlinear equations	11
QuadraticB-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh	11
An effective approach for solving a class of nonlinear singular boundary value problems arising in different physical phenomena	11
A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function	11
Lie group integrators for mechanical systems	10

Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	9
Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation	9
Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic	9
A novel radial basis procedure for the SIRC epidemic delay differential model	9
A new fixed point iteration method for nonlinear third-order BVPs	8
Drift-preserving numerical integrators for stochastic Poisson systems	8
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	8
Numerical study of generalized modified Caputo fractional differential equations	8
Kadomtsev–Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid	8
Three wave mixing effect in the (2+1)-dimensional Ito equation	7
An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions	7
A spectral conjugate gradient projection algorithm to solve the large-scale system of monotone nonlinear equations with application to compressed sensing	7
High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method	7
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method	7
Smoothing techniques in solving non-Lipschitz absolute value equations	7
SUPG-YZβcomputation of chemically reactive convection-dominated nonlinear models	7
Virtual element method for nonlinear convection–diffusion–reaction equation on polygonal meshes	7
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation	7
A new efficient algorithm for finding common fixed points of multivalued demicontractive mappings and solutions of split generalized equilibrium problems in Hilbert spaces	6
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	6
An efficient finite-element method and error analysis for the fourth-order elliptic equation in a circular domain	6
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution	6
Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schrödinger equations	6
A new reproducing kernel method for Duffing equations	6
Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation	6
A novel robust fixed-time convergent zeroing neural network for solving time-varying noise-polluted nonlinear equations	6
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	6
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain	6
An integral equation approach for pricing American put options under regime-switching model	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	5
Approaches that take into account interactions between parameters: pure (fuzzy) soft sets	5
An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs	5
Analyzing the time-fractional (3 + 1)-dimensional nonlinear Schrödinger equation: a new Kudryashov approach and optical solutions	5
A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations	5
Numerical solution of two-point BVPs in infinite-horizon optimal control theory: a combined quasilinearization method with exponential Bernstein functions	5
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	5
On the numerical solution of time fractional Black-Scholes equation	5
The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications	5
The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the expaand exp (− Φ (ξ)) methods	5
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	4
A two-level method for image denoising and image deblurring models using mean curvature regularization	4
The new evidence reasoning based pharmaceutical inventory models with stochastic deterioration rates and lead times using PSO and GA	4
An evolutionary numerical method for solving nonlinear fractional Fredholm–Volterra–Hammerstein integro–differential–delay equations with a functional bound	4
Multisymplectic Hamiltonian variational integrators	4
A uniformly convergent scheme for two-parameter problems having layer behaviour	4
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	4
Stability of nonlinear stochastic Markov jump system with mode-dependent delays and applications	4
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	4
Efficient BBFM-collocation for weakly singular oscillatory Volterra integral equations of the second kind	4

Mass conservative characteristic finite difference method for convection–diffusion equations	4
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays	4
A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations	4
Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation	4
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method	4
An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution	4
Extragradient method and golden ratio method for equilibrium problems on Hadamard manifolds	4
Collocation Runge–Kutta–Nyström methods for solving second-order initial value problems	4
Numerical treatment of singular integral equation in unbounded domain	4
Dynamics of virus-patch model with latent effect	4
A randomized trapezoidal quadrature	4
Iterative regularization methods for solving equilibrium problems	4
A C0 virtual element method for the biharmonic eigenvalue problem	4
Identification of the forcing term in hyperbolic equations	4
Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source	4
Legendre collocation method for new generalized fractional advection-diffusion equation	3
Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters	3
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction	3
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	3
N-solitons, lump solution and interaction phenomenon to the Boussinesq equation	3
A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems	3
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model	3
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations	3
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions	3
Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials	3
Asymptotical mean-square stability of linearθ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach	3
Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix	3
Numerical solutions of strongly non-linear generalized Burgers–Fisher equation via meshfree spectral technique	3
The locking-free finite difference method based on staggered grids for the coupled Stokes–Biot problem	3
Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping	3
The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation	3
High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation	3
Crank–Nicolson finite difference method for time-fractional coupled KdV equation	3
The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method	3
Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations	3
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	3
Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations	3
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	3
Optimality conditions for a class ofE-differentiable vector optimization problems with interval-valued objective functions underE-invexity	3
A fast compact difference scheme with unequal time-steps for the tempered time-fractional Black–Scholes model	3
Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters	3
High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations	3
RLC electric circuit model of fractional order: a Green's function approach	3
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	3
An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates	2
Defect deferred correction method for two domain natural convection problem	2
Numerical method for two-dimensional linearly elastic clamped plate model	2
An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces	2
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves	2
Convergence and superconvergence analysis of energy-preserving Crank–Nicolson Galerkin method for the Benjamin–Bona–Mahony equation	2
Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method	2
Error analysis of a Haar wavelets-based numerical method with its application to a nonlinear fractional dengue model	2
Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrödinger equation with a time-independent potential	2
Numerical solution to 3D bilinear Fokker–Planck control problem	2
High-order numerical algorithms for the time-fractional convection–diffusion equation	2
Two efficient Galerkin finite element methods for the modified anomalous subdiffusion equation	2
Compensated two-step Maruyama methods for stochastic differential equations with Poisson jumps	2
Study on Sobolev type Hilfer evolution equations with non-instantaneous impulses	2
Error analysis of reiterated projection methods for Hammerstein integral equations	2
Exponential synchronization of two different discrete-time chaotic neural networks with time delays and stochastic missing data	2
An inverse problem for the damped generalized regularized long wave equation	2
Convergence analysis and error estimate of second-order implicit–explicit scheme for Gray-Scott model	2
A convergence analysis of semi-discrete and fully-discrete nonconforming FEM for the parabolic obstacle problem	2
Fast compact finite difference schemes on graded meshes for fourth-order multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions	2
Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation	2
Dynamical behaviour of a tumour-immune model focusing on the dosage of targeted chemotherapeutic drug	2
New spectral LS conjugate gradient method for nonlinear unconstrained optimization	2
L∞-norm convergence rates of an IMEX scheme for solving a partial integro-differential equation system arising from regime-switching jump-diffusion Asian option pricing	2
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions	2
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes	2
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation	2
A model and numerical investigation for rolling metal process using continuous finite element discretizations	2
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	2
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	2
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations	2
On reconstruction of binary images by efficient sample-based parameterization in applications for electrical impedance tomography	2
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model	2
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation	2
General solution of two-dimensional singular fractional linear continuous-time system using the conformable derivative and Sumudu transform	2
A dynamical mathematical model for crime evolution based on a compartmental system with interactions	2

Convergence and stability of the two classes of balanced Euler methods for stochastic differential equations with locally Lipschitz coefficients	2
An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound	2
Stabilization of non-autonomous infinite-dimensional systems depending on a parameter	2
Finite difference schemes for time-fractional Schrödinger equations via fractional linear multistep method	2
Laguerre method for solving linear system of Fredholm integral equations	2
Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method	2
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	2
Numerical solution of third-kind Volterra integral equations with proportional delays based on moving least squares collocation method	2
The dynamical analysis of a low computational cost family of higher-order fractional iterative method	2
An adaptive least-squares finite element method for Giesekus viscoelastic flow problems	2
Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems	2
An efficient algorithm to compute the X-ray transform	2
Calibration of the temporally varying volatility and interest rate functions	2
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel	2
Two new classes of exponential Runge–Kutta integrators for efficiently solving stiff systems or highly oscillatory problems	2
Multi-projection methods for Fredholm integral equations of the first kind	2
RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations	2
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs	2
Global-DGMRES method for matrix equationAXB = C	2
Two-step Ulm–Chebyshev-like Cayley transform method for inverse eigenvalue problems	2
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	1
A new three-term spectral subgradient method for solving absolute value equation	1
Solving Fredholm integral inclusion for L-fuzzy mappings	1
Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method	1
Dynamics of the breather and solitary waves in plasma using the generalized variable coefficient Gardner equation	1
A new method of solving the best approximate solution for a nonlinear fractional equation	1
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	1
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	1
Valuation of European options with stochastic interest rates and transaction costs	1
Solution of the generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank–Nicolson as well as explicit SSP-RK43 scheme	1
Conservative second-order finite difference method for Camassa–Holm equation with periodic boundary condition	1
Conservative compact difference scheme for the generalized Korteweg-de Vries equation	1
High-order orthogonal spline collocation ADI scheme for a new complex two-dimensional distributed-order fractional integro-differential equation with two weakly singular kernels	1
Numerical performances based artificial neural networks to deal with the computer viruses spread on the complex networks	1
Syndicated venture capital portfolio companies selection: a fuzzy inference system – agent-based approach	1
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	1
Flexible parameter selection methods for Rician noise removal with convergence guarantee	1
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines	1
A novel efficient numerical solution of Laplace equation with mixed boundary conditions	1
Numerical study of tissue deformation behaviour under impact loading	1
FDM-PINN: Physics-informed neural network based on fictitious domain method	1
High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems	1
Numerical approach for solving two dimensional fractal-fractional PDEs using peridynamic method	1
A technique for improving the computation of functions of triangular matrices	1
A class of developed schemes for parabolic integro-differential equations	1
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model	1
How do Monte Carlo estimates affect stochastic geometric numerical integration?	1
Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations	1
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	1
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes	1
A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations	1
Forecasting the elasticity of variance with LSTM recurrent neural networks	1
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	1
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	1
Second-order nonlinear differential equations: existence, uniqueness and global exponential stability of doubly measure pseudo-almost automorphic solutions	1
A gradient-based calibration method for the Heston model	1
Numerical analysis of axially non-linear viscoelastic string with the variable fractional order model by using Bernstein polynomials algorithm	1
Superconvergence of discontinuous Galerkin method for neutral delay differential equations	1
A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations	1
Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction–diffusion equation	1
On Z-fractional differential equations	1
Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems	1
Analysis of a stochastic model for a prey–predator system with an indirect effect	1
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	1
Numerical analysis of a dynamic viscoplastic contact problem	1
A class of modified GSS preconditioners for complex symmetric linear systems	1
A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems	1
A new block preconditioner for weighted Toeplitz regularized least-squares problems	1
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	1
A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation	1
Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusion-wave equations	1
Delay-range-dependent ℋ∞ synchronization approaches for time-delay chaotic systems	1
A modified-upwind with block-centred finite difference scheme based on the two-grid algorithm for convection-diffusion-reaction equations	1
Convergence analysis of a novel fractional product integration method for solving the second kind weakly singular Volterra integral equations with non-smooth solutions based on Jacobi polynomials	1
A feedforward neural network based on Legendre polynomial for solving linear Fredholm integro-differential equations	1
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	1
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	1
A domain decomposition method of Schwarz waveform relaxation type for singularly perturbed nonlinear parabolic problems	1
Evaluation of integrals with fractional Brownian motion for different Hurst indices	1
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	1
A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems	1
A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem	1
Galerkin spectral approximation for optimal control problem of a fourth-order equation with L2-norm control constraint	1
Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source	1
Characterization and construction of tridiagonal almost strictly sign regular matrices	1
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections	1
Generalized SOR-like iteration method for solving weakly nonlinear systems	1
Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect	1
Semiconvergence of the extended PSS method for singular generalized saddle point problems	1
Characteristic mixed volume element for compressible two-phase displacement in porous media	1
Continuous attractors of fuzzy coupled recurrent neural networks	1
Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels	1
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	1
Asynchronous iterations of HSS method for non-Hermitian linear systems	1
The calculation of the Mittag-Leffler function	1