OOIR: Observatory of International Research

Papers

(The H4-Index of Applied Numerical Mathematics is 29. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives	123
A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options	69
Collocation methods for terminal value problems of tempered fractional differential equations	69
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives	62
An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions	58
Projection methods with alternating inertial steps for variational inequalities: Weak and linear convergence	57
The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems	50
Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations	49
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method	45
Numerical simulation of fractional evolution model arising in viscoelastic mechanics	41
Sharp error estimate of a compact L1-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels	40
A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation	40
An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation	40
Terminal value problems for the nonlinear systems of fractional differential equations	38
Numerical solutions of hybrid fuzzy differential equations in a Hilbert space	37
Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation	36
Investigation of the Oldroyd model as a generalized incompressible Navier–Stokes equation via the interpolating stabilized element free Galerkin technique	36
Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative	35
Numerical schemes for a class of tempered fractional integro-differential equations	34
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation	33
Two optimal Hager-Zhang conjugate gradient methods for solving monotone nonlinear equations	33
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems	32
Bricks for the mixed high-order virtual element method: Projectors and differential operators	32
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	32
A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels	32

Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations	31
A conjugate gradient algorithm and its applications in image restoration	30
Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems	30
A compact finite difference scheme for fractional Black-Scholes option pricing model	30
The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space	29
A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method	29
Numerical methods for the nonlocal wave equation of the peridynamics	29