International Journal of Computer Mathematics

Article	Citations
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	35
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	33
A study on mild solutions for multi-term time fractional measure differential equations	29
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	26
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	23
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	22
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	19
Analysis of a stochastic model for a prey–predator system with an indirect effect	16
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	16
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	16
Building erudition in the wound healing process: an inflammation model analysis	15
Analysis of SLBPS node-based model by Schur complement technique	15
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	15
Lie group integrators for mechanical systems	14
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	12
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions	11
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	11
Smoothing techniques in solving non-Lipschitz absolute value equations	10
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	10
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	10
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	10
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	10
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	9
Stability robust for fractional generalized multi-dimensional state–space models	9
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	9

Correction	9
Uniform error bound of an explicit exponential wave integrator Fourier pseudo-spectral method for the long-time dynamics of the nonlinear Schrödinger equation with wave operator	9
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	9
Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation	8
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	8
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	8
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	8
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	8
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	7
Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term	7
Valuation of European options with stochastic interest rates and transaction costs	7
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	7
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
Euler wavelets operational matrix of integration and its application in the calculus of variations	6
Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method	6
Accelerated computations of sensitivities for xVA*	6
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	6
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method	6
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	6
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	6
Non-autonomous chemostat models with non-monotonic growth	5
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	5
A single timescale stochastic quasi-Newton method for stochastic optimization	5
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	5
Computationally efficient techniques for spatial regression with differential regularization	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations	5
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	5
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters	5
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	5
A nonmonotone adaptive trust region technique with a forgetting factor	5
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	4
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	4
Stability of the analytic solution and the partially truncated Euler–Maruyama method for a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficien	4
A moving mesh method for quenching problem	4
FDM-PINN: Physics-informed neural network based on fictitious domain method	4
A randomized trapezoidal quadrature	4
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	4
A uniformly convergent scheme for two-parameter problems having layer behaviour	4
Efficient pricing and calibration of high-dimensional basket options	4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	4
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valenci	4
An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces	4
Modelling and filtering for dynamic investment in the precious-metals market	4
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	4

Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	4
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	4
Symmetries and solutions for the inviscid oceanic Rossby wave equation	4
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	4
A novel efficient numerical solution of Laplace equation with mixed boundary conditions	4
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	4
Multisymplectic Hamiltonian variational integrators	4
A new options pricing method: semi-stochastic kernel regression method with constraints	4
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	4
Two-step Runge–Kutta methods for Volterra integro-differential equations	3
Semiconvergence of the extended PSS method for singular generalized saddle point problems	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	3
Scalable domain decomposition preconditioner for Navier–Stokes equations coupled with the heat equation	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
Hermite-type collocation methods for volterra integral equations with weakly singular highly oscillatory Fourier kernels	3
Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm	3
On the numerical solution of time fractional Black-Scholes equation	3
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain	3
Numerical method for two-dimensional linearly elastic clamped plate model	3
Majorant series for theN-body problem	3
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids	3
Numerical solution to 3D bilinear Fokker–Planck control problem	3
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	3
A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems	3
The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation	3
Kadomtsev–Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid	3
A model and numerical investigation for rolling metal process using continuous finite element discretizations	3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	3
A numerical optimization scheme for solving systems of fractional-order differential equations	3
Optical solutions to the extended (3+1)-dimensional cubic-quintic nonlinear conformable Schrödinger equation via two effective algorithms	3
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	3
A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration	3
Global stability and sensitivity analysis of dengue transmission using four host and three vector classes along with control strategies	2
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes	2
Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations	2
Kaczmarz-type methods for solving matrix equations	2
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model	2
Computing p th root of a transition matrix with a deep unsupervised learning approach	2
A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation	2
Numerical performances based artificial neural networks to deal with the computer viruses spread on the complex networks	2
High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method	2
Studying a cylindrical moving boundary problem in ductal carcinoma in situ	2
A maximum bound principle preserving and energy-stable second-order Leap-Frog finite difference scheme for the Allen–Cahn equation with a general mobility	2
Influence of delay and white noise on a population model with prey-commensalism and cooperative hunting of predators	2
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves	2
Efficient BBFM-collocation for weakly singular oscillatory Volterra integral equations of the second kind	2
Linear anchored Gaussian mixture model for location and width computations of objects in thick line shape	2
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	2
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation	2
Identification and prediction of time-varying parameters of COVID-19 model: a data-driven deep learning approach	2
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions	2
The new evidence reasoning based pharmaceutical inventory models with stochastic deterioration rates and lead times using PSO and GA	2
A parallel high-order accuracy algorithm for the Helmholtz equations	2
Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems	2
High-order numerical algorithms for the time-fractional convection–diffusion equation	2
Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels	2
Theoretical and numerical study of a skeletal muscle regeneration model with inflammatory response	2
An inverse problem for the damped generalized regularized long wave equation	2
On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme	2
Estimating stresses driving tissue flows using a stokes inverse problem	2
Numerical approach for nonlinear Volterra integro-differential equations based on barycentric rational interpolation	2
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model	2
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution	2
A space-time second-order method based on modified two-grid algorithm with second-order backward difference formula for the extended Fisher–Kolmogorov equation	2
Enhancing numerical performance by enforcing discrete maximum principle with stabilized term for the Allen–Cahn equation with high-order polynomial free energy	2
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method	2
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	2
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	2
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis	2
Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations	2
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data	2
A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem	2
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	2
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model	2
A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations	2
Analysis of finite element method for unsteady convection reaction-diffusion problem with discontinuous data	2

RBF–based IMEX finite difference schemes for pricing option under liquidity switching	2
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation	2
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes	2
Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function	2
Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions	2
A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up	2
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation	2
Why Magnus expansion	1
Low tubal rank tensor completion based on singular value factors	1
A two-level method for image denoising and image deblurring models using mean curvature regularization	1
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	1
A BDF2 method for a singularly perturbed transport equation	1
An efficient algorithm to compute the X-ray transform	1
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation	1
Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems	1
A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem	1
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections	1
Local convergence analysis of a novel derivative-free method with and without memory for solving nonlinear systems	1
Numerical analysis of a dynamic viscoplastic contact problem	1
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays	1
Numerical investigation of sixth-order BDF compact difference scheme for viscous Burgers' equations	1
A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations	1
A numerical scheme for time-fractional Allen–Cahn equation with application in phase separation	1
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel	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
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines	1
Characterization and construction of tridiagonal almost strictly sign regular matrices	1
An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution	1
Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation	1
Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect	1
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction	1
An optimized hybrid block method for solving nonlinear singularly perturbed problems using non-uniform Jain-type meshes	1
Editorial	1
Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients	1
Asymptotical mean-square stability of linearθ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach	1
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method	1
A new family of means: the generalized weighted power means and applications	1
Legendre collocation method for new generalized fractional advection-diffusion equation	1
Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source	1
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system	1
New spectral LS conjugate gradient method for nonlinear unconstrained optimization	1
Singular stochastic Volterra integral equations with Mittag–Leffler kernels: well-posedness and strong convergence of θ-Maruyama method	1
Evaluation of shallow water waves modelled by the Rosenau-Kawahara equation using pseudo-compact finite difference approach	1
RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations	1
SUPG-YZβcomputation of chemically reactive convection-dominated nonlinear models	1
A degree-based topological optimization method for triangular meshes	1
Numerical investigation of the mesh-free collocation approach for solving third kind VIEs with nonlinear vanishing delays	1
On Z-fractional differential equations	1
Drift-preserving numerical integrators for stochastic Poisson systems	1
Ionic flux calculation by an extended Goldman-Hodgkin-Katz equation accounting for nonlinear ion channel electrostatics	1
Barrier option pricing and hedging model under stochastic conditions	1
On SMSNSSOR iteration method for solving complex symmetric linear systems	1
An iterative method to solve the time delay optimal control problem with bounded control variable	1
On reconstruction of binary images by efficient sample-based parameterization in applications for electrical impedance tomography	1
Approaches that take into account interactions between parameters: pure (fuzzy) soft sets	1
High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation	1
Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions	1
Continuous attractors of fuzzy coupled recurrent neural networks	1
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions	1
Numerical similarity solutions for a class of Kolmogorov-type equations	1
Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation	1
The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations	1
H ∞ fault detection and control of Takagi–Sugeno continuous-time conic-type nonlinear systems	1
Local discontinuous Galerkin methods with implicit–explicit BDF time marching for Newell–Whitehead–Segel equations	1
Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems	1
The stability and dissipativity of neutral stochastic delay systems with Markovian switching	1
An efficient finite-element method and error analysis for the fourth-order elliptic equation in a circular domain	1
Global-DGMRES method for matrix equationAXB = C	1
Ana priorierror analysis of thehp-version of theC0-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations	1
A gradient-based calibration method for the Heston model	1