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	30
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	26
A study on mild solutions for multi-term time fractional measure differential equations	23
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	22
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	19
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	17
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	16
Analysis of a stochastic model for a prey–predator system with an indirect effect	16
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	16
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	16
Analysis of SLBPS node-based model by Schur complement technique	16
Building erudition in the wound healing process: an inflammation model analysis	15
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	12
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	12
Lie group integrators for mechanical systems	12
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	11
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	10
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	10
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions	10
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	10
Stability robust for fractional generalized multi-dimensional state–space models	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
Smoothing techniques in solving non-Lipschitz absolute value equations	9
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	9
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	9

A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	9
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	9
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	8
Correction	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
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	7
Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation	7
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	7
Accelerated computations of sensitivities for xVA*	6
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	6
Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method	6
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	6
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	6
Euler wavelets operational matrix of integration and its application in the calculus of variations	6
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	6
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term	6
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method	6
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	6
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	5
Non-autonomous chemostat models with non-monotonic growth	5
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	5
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	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
Computationally efficient techniques for spatial regression with differential regularization	5
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	5
A nonmonotone adaptive trust region technique with a forgetting factor	5
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	5
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	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
Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters	5
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations	5
Symmetries and solutions for the inviscid oceanic Rossby wave equation	5
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	5
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces	4
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	4
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	4
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	4
A moving mesh method for quenching problem	4
A new options pricing method: semi-stochastic kernel regression method with constraints	4
Modelling and filtering for dynamic investment in the precious-metals market	4
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valenci	4
A novel efficient numerical solution of Laplace equation with mixed boundary conditions	4

A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	4
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	4
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	4
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	4
FDM-PINN: Physics-informed neural network based on fictitious domain method	4
Multisymplectic Hamiltonian variational integrators	4
Efficient pricing and calibration of high-dimensional basket options	4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3
Semiconvergence of the extended PSS method for singular generalized saddle point problems	3
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	3
Two-step Runge–Kutta methods for Volterra integro-differential equations	3
A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration	3
Numerical method for two-dimensional linearly elastic clamped plate model	3
Majorant series for theN-body problem	3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
Optical solutions to the extended (3+1)-dimensional cubic-quintic nonlinear conformable Schrödinger equation via two effective algorithms	3
The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation	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
Hermite-type collocation methods for volterra integral equations with weakly singular highly oscillatory Fourier kernels	3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	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
Numerical solution to 3D bilinear Fokker–Planck control problem	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
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation	2
Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function	2
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	2
A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up	2
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes	2
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method	2
A parallel high-order accuracy algorithm for the Helmholtz equations	2
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model	2
Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems	2
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	2
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions	2
A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation	2
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model	2
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation	2
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves	2
An inverse problem for the damped generalized regularized long wave equation	2
Efficient BBFM-collocation for weakly singular oscillatory Volterra integral equations of the second kind	2
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation	2
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	2
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution	2
The new evidence reasoning based pharmaceutical inventory models with stochastic deterioration rates and lead times using PSO and GA	2
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model	2
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	2
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	2
RBF–based IMEX finite difference schemes for pricing option under liquidity switching	2
A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem	2
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain	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 new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations	2
Numerical approach for nonlinear Volterra integro-differential equations based on barycentric rational interpolation	2
Kaczmarz-type methods for solving matrix equations	2
High-order numerical algorithms for the time-fractional convection–diffusion equation	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
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
Estimating stresses driving tissue flows using a stokes inverse problem	2
Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions	2
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis	2
Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations	2
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data	2
Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations	2
Computing p th root of a transition matrix with a deep unsupervised learning approach	2
Analysis of finite element method for unsteady convection reaction-diffusion problem with discontinuous data	2
Global stability and sensitivity analysis of dengue transmission using four host and three vector classes along with control strategies	2
Solving time-fractional Schrödinger equation via the numerical method on extended space–time sparse grid	2
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes	2
Linear anchored Gaussian mixture model for location and width computations of objects in thick line shape	2
Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels	2
An improved discretization method of boundary conditions in peridynamic differential operator	1

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