This paper deals with approximating the time fractional Tricomi-type model in the sense of
the Caputo derivative. The model is often adopted for describing the anomalous process of …

In this article, barycentric rational interpolation and local radial basis functions (RBFs) based
numerical algorithms are developed for solving multidimensional sine‐Gordon (SG) …

In this study, we examine numerical solutions of Zakharov–Rubenchik system which is a
coupled nonlinear partial differential equation. The numerical method in the current study is …

This paper develops a numerical approach for finding the approximate solution of the
Sobolev model. This model describes many natural processes, such as thermal conduction …

In this paper, the basis functions are firstly constructed by employing the reproducing kernel
functions (RKFs). Based on these basis functions and an appropriate choice of the …

This work analyzes singularly perturbed Burgers' model by developing two meshfree
algorithms based on local radial basis function-finite difference approximation. The main …

Abstract The time fractional Klein–Kramers model (TFKKM) is obtained by incorporating the
subdiffusive mechanisms into the Klein–Kramers formalism. The TFKKM can efficiently …

The main propose of this investigation is to introduce a rapid and impressive numerical
procedure to simulate the time dependent incompressible Navier–Stokes equation with …

This paper addresses the solution of the Rayleigh–Stokes problem for an edge in a
generalized Oldroyd-B fluid using fractional derivatives and the radial basis function …

We present in this paper comparisons on the performances among five typical radial basis
functions methods, namely radial basis collocation method (RBCM), radial basis Galerkin …