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 2021-09-01 to 2025-09-01.)

Article	Citations
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	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	20
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	19
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	19
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	16
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	16
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation	14
A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph	13
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	12
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	11
Analysis of SLBPS node-based model by Schur complement technique	11
Analysis of a stochastic model for a prey–predator system with an indirect effect	11
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	11
Moore-Gibson-Thompson thermoelasticity with second gradient	10
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	10
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval	10
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	9
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions	9
Mathematical and numerical simulation of a nonlinear thermoelastic system	9
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	9
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	9
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	9
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	8
Building erudition in the wound healing process: an inflammation model analysis	8

Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	8
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	7
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	7
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	7
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	7
Correction	7
Stability robust for fractional generalized multi-dimensional state–space models	7
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	6
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	6
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	6
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method	6
Smoothing techniques in solving non-Lipschitz absolute value equations	6
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	6
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	6
Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method	6
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	6
Accelerated computations of sensitivities for xVA*	6
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	6
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	6
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	5
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	5
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations	5
A convex combination-based derivative-free projection algorithm for finding solutions of constrained nonlinear equations with signal recovery applications	5
Non-autonomous chemostat models with non-monotonic growth	5
A nonmonotone adaptive trust region technique with a forgetting factor	5
Computationally efficient techniques for spatial regression with differential regularization	5
A single timescale stochastic quasi-Newton method for stochastic optimization	5
Symmetries and solutions for the inviscid oceanic Rossby wave equation	5
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	5
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	5
Euler wavelets operational matrix of integration and its application in the calculus of variations	5
On sparse spectral Jacobi method for highly oscillatory integrals	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
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications	5
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	4
Modelling and filtering for dynamic investment in the precious-metals market	4
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks	4
A new options pricing method: semi-stochastic kernel regression method with constraints	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
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	4
Efficient pricing and calibration of high-dimensional basket options	4
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	4
H ¹ -norm error estimate of a compact ADI finite difference scheme for the 2 D multi-term time-fractional convection-diffusion	4

Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	4
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	4
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	4
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
A moving mesh method for quenching problem	4
Finite difference approximation of time-fractional advection-diffusion equation on a metric star graph	4
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	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
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	3
Multisymplectic Hamiltonian variational integrators	3
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	3
Numerical method for two-dimensional linearly elastic clamped plate model	3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	3
A numerical optimization scheme for solving systems of fractional-order differential equations	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valenci	3
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations	3
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids	3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	3
Fast compact difference schemes with temporally graded meshes for the high-dimensional time-fractional subdiffusion equation	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
A new class of positive linear operators and their improvement: theory and numerical experiments	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
Numerical solution to 3D bilinear Fokker–Planck control problem	3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
FDM-PINN: Physics-informed neural network based on fictitious domain method	3
Two-step Runge–Kutta methods for Volterra integro-differential equations	3