In this article, we consider the steady convection–diffusion–reaction equation posed on
general surface in convection-dominated regimes, which is an important problem in many …

Designing an efficient high-order numerical discretization is one of the challenges in
numerical solution of fractional differential equations. Therefore in this paper to overcome …

In this article, a two-level meshless local Petrov Galerkin method (MLPG) is proposed to
analyze nonlinear convection–diffusion equation based on the radial basis function (RBF) …

Abstract The Gray-Scott system describes one of the crucial components of the reaction-
diffusion system. Its mathematical model has a couple of non-linear partial differential …

The time-fractional problem is a class of important models to represent the real world. It is an
open problem to study how the fractional operator acts on the surface. In this work, we …

We propose a radial basis function collocation method (RBF method) to solve fractional
Laplacian visco-acoustic wave equation for the Earth media having heterogeneous velocity …

A novel accurate method is proposed to solve a broad variety of linear and nonlinear (1+ 1)-
dimensional and (2+ 1)-dimensional multi-term time-fractional partial differential equations …

Featured Application The novel space–time radial polynomial basis function collocation
method is first proposed for solving the backward heat conduction problems in this study …

In the literature, there are a few efficient numerical methods with stability and convergence
analysis for the solution of variable order fractional partial differential equations in higher …

Time-dependent convection-diffusion problems, prevalent in science and engineering,
present significant analytical challenges. The limitations of traditional mesh-based numerical …