International Journal of Computer Mathematics

Article	Citations
Convergence and stability of the balanced Euler method for stochastic pantograph differential equations with Markovian switching	30
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	28
On SMSNSSOR iteration method for solving complex symmetric linear systems	28
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	26
A novel term-structure-based Heston model for implied volatility surface	26
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	22
Low tubal rank tensor completion based on singular value factors	20
A study on mild solutions for multi-term time fractional measure differential equations	19
Viscosity approximation method for split best proximity point and monotone variational inclusion problem	17
Sobolev orthogonal Legendre rational spectral methods for exterior problems	16
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	16
Space–time localized polynomial basis functions for solving parabolic and hyperbolic equations	16
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	15
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	15
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction	15
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	14
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes	14
Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method	14
Numerical solution of third-kind Volterra integral equations with proportional delays based on moving least squares collocation method	12
Enhancing mortgage rate prediction: a comprehensive evaluation of computational statistical approaches	11
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	11
Kaczmarz-type methods for solving matrix equations	11
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions	11
Convergence and superconvergence analysis of energy-preserving Crank–Nicolson Galerkin method for the Benjamin–Bona–Mahony equation	10
Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations	9

Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method	9
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis	9
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation	9
Approaches that take into account interactions between parameters: pure (fuzzy) soft sets	8
A modified-upwind with block-centred finite difference scheme based on the two-grid algorithm for convection-diffusion-reaction equations	8
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	8
How do Monte Carlo estimates affect stochastic geometric numerical integration?	8
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method	8
The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the expaand exp (− Φ (ξ)) methods	7
Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schrödinger equations	7
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	7
A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation	7
New spectral LS conjugate gradient method for nonlinear unconstrained optimization	7
Solving generalized polynomial problem by using new affine relaxed technique	7
A uniformly convergent scheme for two-parameter problems having layer behaviour	7
Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation	6
An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces	6
Editorial	6
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	6
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	6
Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments	6
A technique for improving the computation of functions of triangular matrices	6
A parallel high-order accuracy algorithm for the Helmholtz equations	6
Iterative regularization methods for solving equilibrium problems	6
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	5
A moving mesh method for quenching problem	5
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	5
The non-autonomous perturbed potential Kadomtsev–Petviashvili equation: its integrability, kinky-quasiperiodic, kink-like breather, lump-kink solutions with mixed backgrounds	5
A novel coupled p ( x ) and fractional PDE denoising model with theoretical results	5
Defect deferred correction method for two domain natural convection problem	5
Efficient pricing and calibration of high-dimensional basket options	5
Error analysis of Haar wavelet-based Galerkin numerical method with application to various nonlinear optimal control problems	5
A new block preconditioner for weighted Toeplitz regularized least-squares problems	5
Analysis of a stochastic model for a prey–predator system with an indirect effect	5
A novel radial basis procedure for the SIRC epidemic delay differential model	5
Numerical solution of two-point BVPs in infinite-horizon optimal control theory: a combined quasilinearization method with exponential Bernstein functions	5
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data	4
High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems	4
A new options pricing method: semi-stochastic kernel regression method with constraints	4
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	4
Legendre collocation method for new generalized fractional advection-diffusion equation	4
The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations	4
Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems	4
A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems	4
Error analysis of a Haar wavelets-based numerical method with its application to a nonlinear fractional dengue model	4
An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound	4
Why Magnus expansion	4
A gradient-based calibration method for the Heston model	4
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation	4
Multiwave interaction solutions for a (3 + 1)-dimensional generalized BKP equation	4

A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem	4
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation	4
Stabilized equal lower-order finite element methods for simulating Brinkman equations in porous media	4
Continuous attractors of fuzzy coupled recurrent neural networks	4
Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs	4
Conservative second-order finite difference method for Camassa–Holm equation with periodic boundary condition	4
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	4
Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect	4
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	3
A novel efficient numerical solution of Laplace equation with mixed boundary conditions	3
Exponential input-to-state stability for neutral stochastic delay differential equations with Lévy noise and Markovian switching	3
FDM-PINN: Physics-informed neural network based on fictitious domain method	3
Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions	3
Numerical analysis of a dynamic viscoplastic contact problem	3
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays	3
On frame diagonalization of square matrices	3
A dynamical mathematical model for crime evolution based on a compartmental system with interactions	3
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	3
Pressure robust hybrid mixed finite element method for Darcy–Forchheimer model	3
Uniformly convergent hybrid numerical scheme for singularly perturbed turning point problems with delay	3
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions	3
Superconvergent spectral projection and multi-projection methods for nonlinear Fredholm integral equations	3
Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix	3
Flexible parameter selection methods for Rician noise removal with convergence guarantee	3
Analysis of a semi-Lagrangian numerical method in a cell dwarfism model	3
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	3
A parallel stabilized quadratic equal-order finite element algorithm for the steady Navier–Stokes equations	3
A randomized trapezoidal quadrature	3
Structure preserving subspace methods for the general coupled discrete-time periodic matrix equation and its application in antilinear periodic system	3
Modelling and filtering for dynamic investment in the precious-metals market	3
Characteristic mixed volume element for compressible two-phase displacement in porous media	3
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	3
Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction–diffusion equation	3
Approximate solution to solve singular variable-order fractional Volterra–Fredholm integral partial differential equations type defined using hybrid functions	3
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections	3
Linear anchored Gaussian mixture model for location and width computations of objects in thick line shape	2
Solving Fredholm integral inclusion for L-fuzzy mappings	2
Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations	2
Multisymplectic Hamiltonian variational integrators	2
A domain decomposition method of Schwarz waveform relaxation type for singularly perturbed nonlinear parabolic problems	2
High-order orthogonal spline collocation ADI scheme for a new complex two-dimensional distributed-order fractional integro-differential equation with two weakly singular kernels	2
Flexible decision variables in multi-objective reservoir operation	2
Syndicated venture capital portfolio companies selection: a fuzzy inference system – agent-based approach	2
Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source	2
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system	2
Delay-range-dependent ℋ∞ synchronization approaches for time-delay chaotic systems	2
Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation	2
Forecasting the elasticity of variance with LSTM recurrent neural networks	2
An effective approach for solving a class of nonlinear singular boundary value problems arising in different physical phenomena	2
Singular stochastic Volterra integral equations with Mittag–Leffler kernels: well-posedness and strong convergence of θ-Maruyama method	2
A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines	2
Energy norm error estimate for singularly perturbed fourth-order differential equation with two parameters	2
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	2
Major 2 Satisfiability Logic in Discrete Hopfield Neural Network	2
Evaluation of shallow water waves modelled by the Rosenau-Kawahara equation using pseudo-compact finite difference approach	2
Lie group integrators for mechanical systems	2
Identification and prediction of time-varying parameters of COVID-19 model: a data-driven deep learning approach	2
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution	2
Scalable domain decomposition preconditioner for Navier–Stokes equations coupled with the heat equation	2
Two-step Ulm–Chebyshev-like Cayley transform method for inverse eigenvalue problems	2
Building erudition in the wound healing process: an inflammation model analysis	2
An inverse problem for the damped generalized regularized long wave equation	2
Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions	2
An efficient algorithm to compute the X-ray transform	2
Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation	2
Numerical investigation of sixth-order BDF compact difference scheme for viscous Burgers' equations	2
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation	2
Stochastic generalized Rayleigh diffusion process: computational strategies and statistical analysis	2
A novel robust fixed-time convergent zeroing neural network for solving time-varying noise-polluted nonlinear equations	2
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	2
Estimating stresses driving tissue flows using a stokes inverse problem	2
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	2
Application of the Cauchy integral approach to singular and highly oscillatory integrals	2
Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation	2
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	2
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	2
Asymptotical mean-square stability of linearθ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach	2
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valenci	2
Studying a cylindrical moving boundary problem in ductal carcinoma in situ	2
Error analysis of reiterated projection methods for Hammerstein integral equations	2

High-order numerical algorithms for the time-fractional convection–diffusion equation	2
Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters	2
Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials	2
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs	2
Deep learning of optimal exercise boundaries for American options	2
Correction	1
A new family of means: the generalized weighted power means and applications	1
Valuation of European options with stochastic interest rates and transaction costs	1
Preface for the special issue “Geometric numerical integration, twenty-five years later”	1
Convergence of Runge–Kutta-based convolution quadrature for semilinear fractional differential equations	1
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	1
Compensated two-step Maruyama methods for stochastic differential equations with Poisson jumps	1
Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels	1
Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions	1
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids	1
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	1
Effective numerical computation of p ( x )–Laplace equations in 2D	1
RLC electric circuit model of fractional order: a Green's function approach	1
Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients	1
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	1
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	1
An iterative method to solve the time delay optimal control problem with bounded control variable	1
Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation	1
Dynamics of virus-patch model with latent effect	1
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves	1
A new method of solving the best approximate solution for a nonlinear fractional equation	1
On reconstruction of binary images by efficient sample-based parameterization in applications for electrical impedance tomography	1
Optimally accurate second-order numerical scheme on layer-resolving graded mesh for singularly-perturbed boundary turning point problems exhibiting power-of-type-1 and hybrid layers	1
The solution for singularly perturbed differential-difference equation with boundary layers at both ends by a numerical integration method	1
Correction	1
The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications	1
Global stability and sensitivity analysis of dengue transmission using four host and three vector classes along with control strategies	1
A collocation-based spectral element method for computing nonlinear optical waveguide	1
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	1
A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up	1
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model	1
Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients	1
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	1
Numerical treatment of singular integral equation in unbounded domain	1
RBF–based IMEX finite difference schemes for pricing option under liquidity switching	1
A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation	1
Majorant series for theN-body problem	1
Local discontinuous Galerkin methods with implicit–explicit BDF time marching for Newell–Whitehead–Segel equations	1
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel	1
A kind regularization method with Poisson kernel to solve Cauchy problem of Schrödinger equation	1
Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems	1
The new evidence reasoning based pharmaceutical inventory models with stochastic deterioration rates and lead times using PSO and GA	1
The calculation of the Mittag-Leffler function	1
Energy stable and convergent BDF3-5 schemes for the molecular beam epitaxial model with slope selection	1
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	1
A feedforward neural network based on Legendre polynomial for solving linear Fredholm integro-differential equations	1
Stability robust for fractional generalized multi-dimensional state–space models	1
Efficiently and accurately simulating multi-dimensional M-coupled nonlinear Schrödinger equations with fourth-order time integrators and Fourier pseudo-spectral method	1
Numerical study of tissue deformation behaviour under impact loading	1
Retraction: Mathematical Techniques and Applications of Linear Differential Equation	1
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	1
Mass conservative characteristic finite difference method for convection–diffusion equations	1
High-order convergence of multistep collocation methods for nonstandard Volterra integral equations	1
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	1
Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method	1
E-PINN: extended physics informed neural network for the forward and inverse problems of high-order nonlinear integro-differential equations	1
A model and numerical investigation for rolling metal process using continuous finite element discretizations	1
A numerical scheme for time-fractional Allen–Cahn equation with application in phase separation	1
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method	1
Projection-type method with line-search process for solving variational inequalities	1
Multi-projection methods for Fredholm integral equations of the first kind	1
Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term	1
On the fractional calculus of multivariate Mittag-Leffler functions	1
Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation	1
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	1
Crank–Nicolson finite difference method for time-fractional coupled KdV equation	1
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method	1
Smoothing techniques in solving non-Lipschitz absolute value equations	1
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	1
The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method	1
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	1
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions	1
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	1
A noise-tolerant fast convergence ZNN for dynamic matrix inversion	1
The dynamical analysis of a low computational cost family of higher-order fractional iterative method	1