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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
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
Type
JournalPaper
Keywords
Caputo derivative,Fractional differential equations,Multi-term fractional differential equations,Jacobi polynomials,Fractional differentiation matrix
Year
2011
Journal Communications in Nonlinear Science and Numerical Simulation
DOI
Researchers Shahrokh Esmaeili ، Mostafa Shamsi

Abstract

In this paper, the pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the pseudo-spectral differentiation matrix of fractional order is derived. Then, by using pseudo-spectral scheme, the problem is reduced to the solution of a system of algebraic equations. Through several numerical examples, we evaluate the accuracy and performance of our proposed method.