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 …

In this paper, Bernstein polynomials method is proposed for the numerical solution of a class
of variable order fractional linear cable equation. In this paper, we adopted Bernstein …

In this article, we present the Jacobi spectral colocation method to solve the fractional model
of Liénard and Duffing equations with the Liouville–Caputo fractional derivative. These …

In this paper, Bernstein operational matrix of fractional derivative of order α in the Caputo
sense is derived. We also apply this matrix to the collocation method for solving multi-order …

The aim of this paper is to solve a class of non-linear fractional variational problems
(NLFVPs) using the Ritz method and to perform a comparative study on the choice of …

In this paper, we adapt for the first time the operational matrices of Bernstein polynomials
method for solving directly a class of third-order ordinary differential equations (ODEs). This …

This study will develop a new high-order polynomial surrogate model (HOPSM) to overcome
routines of expensive computer simulations in engineering. The proposed HOPSM is …

In this paper, we state and prove a new formula expressing explicitly the integratives of
Bernstein polynomials (or B‐polynomials) of any degree and for any fractional‐order in …

This paper presents a new algorithm based on operational matrix of fractional integrations
for fractional Bloch equation in Nuclear Magnetic Resonance (NMR). For construction of …

In this study, a numerical technique is applied to investigate solutions of linear variable order
differential equations (VODEs) in fluid mechanics. We investigate variable order (VO) in the …