2024 : 5 : 20
Shahrokh Esmaeili

Shahrokh Esmaeili

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 15834719000
Faculty: Faculty of Science
Address: Department of Mathematics University of Kurdistan
Phone: 08733624133

Research

Title
Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
Type
JournalPaper
Keywords
Fractional derivatives,Fractional differential equations,Orthogonal polynomials,Müntz polynomials,Gaussian quadrature
Year
2011
Journal Computers & Mathematics with Applications
DOI
Researchers Shahrokh Esmaeili ، Mostafa Shamsi ، Yury Luchko

Abstract

This paper presents a computational technique based on the collocation method and Müntz polynomials for the solution of fractional differential equations. An appropriate representation of the solution via the Müntz polynomials reduces its numerical treatment to the solution of a system of algebraic equations. The main advantage of the present method is its superior accuracy and exponential convergence. Consequently, one can obtain good results even by using a small number of collocation points. The accuracy and performance of the proposed method are examined by means of some numerical experiments.