OOIR: Observatory of International Research

Papers

(The H4-Index of Applied Numerical Mathematics is 27. 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 2020-11-01 to 2024-11-01.)

Article	Citations
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives	65
Projection methods with alternating inertial steps for variational inequalities: Weak and linear convergence	59
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method	51
Numerical simulation of fractional evolution model arising in viscoelastic mechanics	44
Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation	43
Sharp error estimate of a compact L1-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels	42
Terminal value problems for the nonlinear systems of fractional differential equations	41
Numerical schemes for a class of tempered fractional integro-differential equations	40
A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion e	38
A compact finite difference scheme for fractional Black-Scholes option pricing model	38
Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations	37
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation	37
A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels	37
Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems	35
Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel	34
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems	33
The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space	32
The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel	31
Taylor wavelet solution of linear and nonlinear Lane-Emden equations	31
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations	31
A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation	30
Matrix multisplitting Picard-iterative method for solving generalized absolute value matrix equation	30
Two-grid methods for semilinear time fractional reaction diffusion equations by expanded mixed finite element method	28
Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons	27
Legendre wavelet method for fractional delay differential equations	27

Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type	27
Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra–Fredholm integral equations	27