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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
Solving 2D time-fractional diffusion equations by a pseudospectral method and Mittag-Leffler function evaluation
Type
JournalPaper
Keywords
time-fractional diffusion equations, Mittag-Leffler function, pseudospectral method, differentiation matrix, matrix functions
Year
2017
Journal MATHEMATICAL METHODS IN THE APPLIED SCIENCES
DOI
Researchers Shahrokh Esmaeili

Abstract

Two-dimensional time-fractional diffusion equations with given initial condition and homogeneous Dirichlet boundary conditions in a bounded domain are considered‎. ‎A semidiscrete approximation scheme based on the pseudospectral method to the time fractional diffusion equation leads to a system of ordinary fractional differential equations‎. ‎To preserve the high accuracy of the spectral approximation‎, ‎an approach based on the evaluation of the Mittag-Leffler function on matrix arguments is used for the integration along the time variable‎. ‎Some examples along with numerical experiments illustrate the effectiveness of the proposed approach‎.