OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Sciences is 6. 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
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme	35
A Legendre spectral-finite difference method for Caputo–Fabrizio time-fractional distributed-order diffusion equation	30
Finite-time stability in measure for nabla uncertain discrete linear fractional order systems	29
A unique weak solution for the fractional integro-differential schrödinger equations	22
Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$-dimensional space	15
Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method	15
Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity	14
Improved Dai-Yuan iterative schemes for convex constrained monotone nonlinear systems	14
An explicit two-stage truncated Runge–Kutta method for nonlinear stochastic differential equations	13
Iterative algorithms for common fixed points of a countable family of quasi-nonexpansive multivalued mappings in CAT(0) spaces	12
A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative	12
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator	11
A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4$$^+$$ T cells	11
On the fractional integral inclusions having exponential kernels for interval-valued convex functions	11
An adaptive finite element method for Riesz fractional partial integro-differential equations	10
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis	9
Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches	8
Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method	8
Space-time pseudospectral method for the variable-order space-time fractional diffusion equation	8
A theoretical approach to ranking of parametric fuzzy numbers using value and left–right ambiguity	8
A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations	7
Filter design based on the fractional Fourier transform associated with new convolutions and correlations	7
A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function	6
On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels	6
Solvability of some fractional differential equations in the Hölder space $${\mathcal {H}}_{\gamma }(\mathbb {R_+})$$ and their numerical treatment via measures of noncompactness	6

Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient