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 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 …

The aim of this work consists of finding a suitable numerical method for the solution of the
mathematical model describing the prostate tumor growth, formulated as a system of time …

We present a radial basis function-based local collocation method for solving time fractional
nonlinear diffusion wave equation. The main beauty of the local collocation method is that …

This paper presents a localized meshless approach based on the radial basis function-finite
difference (RBF-FD) to find the approximation solution of the generalized Kuramoto …

The main aim of this paper is to develop a new framework of a meshless approximation for
solving numerically three nonlinear partial differential equations in biology, ie, the …

The main aim of this paper is to present new and simple numerical methods for solving the
time-dependent transport equation on the sphere in spherical coordinates. We use two …

In this paper, a localized meshless collocation method, the generalized finite difference
method (GFDM), is first applied to calculate the bandgaps of anti-plane transverse elastic …

The current paper describes a rapid and impressive numerical technique to simulate the
flows with multiple phases and components based upon the Shan-Chen model. The Shan …

In this paper, the cubic–quintic complex Ginzburg–Landau (CQCGL) equation is numerically
studied in 1D, 2D and 3D spaces. First, by the Strang splitting technique, the CQCGL …