OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Computer Mathematics is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-06-01 to 2026-06-01.)

Article	Citations
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	32
A study on mild solutions for multi-term time fractional measure differential equations	31
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	28
Analysis of SLBPS node-based model by Schur complement technique	22
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation	20
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	18
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	16
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	16
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	15
A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph	15
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	14
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	13
Analyzing the HIV infection dynamics: a numerical study of mathematical model,incorporating the Atangana-Baleanu fractional operator by using the Sumudu transform method	13
Analysis of a stochastic model for a prey–predator system with an indirect effect	12
A compact direct RBF-PU method for nonlinear volterra integro-differential equations with tempered kernels	11
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	11
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval	11
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	10
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	10
Moore-Gibson-Thompson thermoelasticity with second gradient	10
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	9
Building erudition in the wound healing process: an inflammation model analysis	9
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	9
Mathematical and numerical simulation of a nonlinear thermoelastic system	9
Smoothing techniques in solving non-Lipschitz absolute value equations	8

Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	8
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	8
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	8
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	8
Stability robust for fractional generalized multi-dimensional state–space models	8
Quadratic immersed finite element approximation of elliptic interface problem in circular and spherical domains	8
Correction	8
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	8
Euler wavelets operational matrix of integration and its application in the calculus of variations	7
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	7
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	7
Accelerated computations of sensitivities for xVA*	7
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	7
Exploring the bifurcation analysis, chaotic dynamics and noise-induce stochastic fluctuations in tumour microenvironment	7
A numerical method based on the piecewise Chebyshev cardinal functions for a class of third-kind nonlinear fractional integro-differential equations	7
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	7
Analysis of three finite element iterative methods for the stationary magneto-micropolar equations	7
On sparse spectral Jacobi method for highly oscillatory integrals	7
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	6
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	6
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	6
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	6
Non-autonomous chemostat models with non-monotonic growth	6
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
Computationally efficient techniques for spatial regression with differential regularization	6
A nonmonotone adaptive trust region technique with a forgetting factor	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	5
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	5
HTGAN: heavy-tail GAN for multivariate dependent extremes via latent-dimensional control	5
A decoupled finite element algorithm for multi-layer mixed-dimensional model in porous media with a fault and surrounding damage zones	5
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	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
Approximations of Caputo fractional order derivatives by ψ -Bernstein–Kantorovich operators and simulations on real-world datasets	5
Analytical solution of a generalized fractional diffusion–advection equation	5
A single timescale stochastic quasi-Newton method for stochastic optimization	5
Construction of new travelling wave solutions and bifurcation analysis for the (2 + 1)-dimensional extended KP-BO equation utilizing the improved modified extended tanh-function method	5
Moving least squares Genocchi-collocation scheme for fractal-fractional integro-differential equations	5
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	5
The development and analysis of a mesh-free technique for the solution of the heat conduction problems of the two-dimensional layered materials	5
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications	4
Symmetries and solutions for the inviscid oceanic Rossby wave equation	4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4
An investigation of an accurate numerical method for solving nonlinear physiological models using Chebyshev-based quasilinearization	4
A moving mesh method for quenching problem	4
Efficient pricing and calibration of high-dimensional basket options	4
H ¹ -norm error estimate of a compact ADI finite difference scheme for the 2 D multi-term time-	4
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	4

The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
A descent hybridization of the Polak–Ribière–Polyak and Fletcher–Reeves conjugate gradient methods with applications to nonnegative matrix factorization and compressive sensing	4
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks	4
Numerical discretization of the Navier–Stokes equations with power-law stick-slip boundary condition	4
An analysis on the time optimal control results for Hilfer fractional neutral stochastic integro-differential inclusions with Clarke's subdifferential type	4
A convex combination-based derivative-free projection algorithm for finding solutions of constrained nonlinear equations with signal recovery applications	4
Finite difference approximation of time-fractional advection-diffusion equation on a metric star graph	4
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
Solving time-fractional inverse source problems using topological gradient methods	3
FDM-PINN: Physics-informed neural network based on fictitious domain method	3
Regularized moving least squares meshless method for solving three-dimensional Fredholm integral equations on 3D irregular domain	3
Strong convergence order and stochastic C-stability of the projected Milstein method for stochastic delay differential equations with non-globally Lipschitz continuous coefficients	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
Kink, kink-lump, kink-breather and rough wave soliton solutions of the (3 + 1)-dimensional space-time fractional Jimbo-Miwa equation	3
Hermite-type collocation methods for volterra integral equations with weakly singular highly oscillatory Fourier kernels	3
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	3
An accurate and unconditionally stable cubic B-splines method for the time-fractional KdV–Burgers’ equation: comparative analysis with existing schemes	3
The fractional stochastic Black-Scholes equation versus artificial neural networks: a comparative study of option pricing on the masi index	3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	3
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	3
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	3
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	3
An inertial iterative method for common solution of a pair of variational inequality problems	3
A compact ADI difference scheme for a 2D multiterm time-fractional convection diffusion equation subjected to weakly singular solution	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
Robust finite-time non-fragile memory feedback control for uncertain systems with external disturbance	3
Convergence analysis for a time-fractional diffusion-wave model with distributed order involving Riesz space-fractional derivatives using a fourth-order fractional-compact difference operator	3
A numerical optimization scheme for solving systems of fractional-order differential equations	3
Hall-influenced 3D rotating flow of MHD ([GO-MoS ₂ /Na-Alg] ^h ) hybrid nanofluid over an expanding	3
Modelling tumour micro-scale dynamics via virtual element methods on polygonized square and disk domains	3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	3
Numerical analysis of a second-order method for a nonlinear diffusive SIR epidemic model with a saturated incidence rate in a heterogeneous environment	3
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant	3
Fast compact difference schemes with temporally graded meshes for the high-dimensional time-fractional subdiffusion equation	3
Numerical method for two-dimensional linearly elastic clamped plate model	3
A neural network optimization scheme for fractional economic and environmental mathematical model	3
Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm	3
A new class of positive linear operators and their improvement: theory and numerical experiments	3
Two-step Runge–Kutta methods for Volterra integro-differential equations	3
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	3
A new options pricing method: semi-stochastic kernel regression method with constraints	3
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3