In order to facilitate the understanding of the current research efforts and directions, this
article first introduces the anomalous/problematic features of magnesium (Mg) and presents …

This study aims to use the Taylor wavelet method to solve linear and nonlinear Lane-Emden
equations. An advantage of the method is the orthonormality property of the polynomials …

In this study, a high-order compact finite difference method is used to solve Lane–Emden
equations with various boundary conditions. The norm is to use a first-order finite difference …

Abstract The system of Emden-Fowler equations occurs frequently in physical and natural
sciences. These system of equations are very difficult to handle due to their singularity and …

In this paper, we introduce a new structure of the generalized multi-point thermostat control
model motivated by its standard model. By presenting integral solution of this boundary …

In this paper, we present the general Bernstein functions for the first time. The properties of
generalized Bernstein basis functions are given and demonstrated. The classical Bernstein …

In this paper, a new rational approximation based on a rational interpolation and collocation
method is proposed for the solutions of generalized pantograph equations. A …

In this paper, we propose a numerical method based on Bernstein polynomials and their
operational matrices for solving both linear and non-linear delay differential equations …

In this paper, we introduce two new methods to solve systems of ordinary differential
equations. The first method is constituted of the generalized Bernstein functions, which are …

We present an approximate solution depending on collocation method and Bernstein
polynomials for numerical solution of a singular nonlinear differential equations with the …