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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 method for the time fractional diffusion equation
Type
Presentation
Keywords
: fractional derivatives, time fractional diffusion equation, differentiation matrix
Year
2013
Researchers Shahrokh Esmaeili

Abstract

We consider the initial-boundary-value problem for a homogeneous time fractional diffusion equation with an initial condition $u_0(x)$ and a homogeneous Dirichlet boundary condition in a bounded interval $[0,L]$. We study a semidiscrete approximation scheme, the pseudo-spectral method, using the characteristic Lagrange polynomials for this problem. Some examples are given and the numerical simulations are also provided to illustrate the effectiveness of the proposed method.