The main aim of this study is to introduce an efficient method based on the Chelyshkov
polynomials and least squares support vector regression (LS-SVR) for solving a class of …

We present a fast evolution numerical algorithm for solving the Allen–Cahn (AC) equations.
One of efficient computational techniques for the AC equation is the operator splitting …

The divergence-free generalized moving least squares (Div-Free GMLS) approximation has
recently been utilized to solve some incompressible fluid flows problems. In our recent work …

In this paper, we consider the radial basis function collocation method with fictitious centres
for solving the Cahn–Hilliard equation in one-dimensional and two-dimensional settings …

This paper focuses on presenting an asymptotic analysis and employing simulations of a
model describing the growth of local prostate tumor (known as a moving interface problem) …

The usage of the point cloud surface reconstruction to generate high-precision 3D models
has been widely applied in various fields. In order to deal with the problems of insufficient …

With the assistance of the moving least‐squares (MLS) interpolation functions, a two‐
dimensional finite element code is developed to consider the effects of a stationary or …

The finite element method is extremely popular in almost all fields of engineering and
scientific research due to its powerful and accessible industrial software for computational …

Equations of elastic cylindrical shells in term displacements for the T‐shaped connection of
pipes are derived. Three‐dimensional mathematical model is constructed within the …

Based on the method of finite differences we propose a numerical blow-up time for a system
of nonlinear ordinary differential equations, such system is defined by means of some …