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Alimohammad Nazari

Alimohammad Nazari

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-3231-0340
Education: PhD.
ScopusId: 7003903991
HIndex:
Faculty: Science
Address: Arak University
Phone:

Research

Title
FINITE DIFFERENCE METHOD FOR SOLVING THE SPACE–TIME FRACTIONAL WAVE EQUATION IN THE CAPUTO FORM
Type
JournalPaper
Keywords
Fractional wave equation, Caputo fractional derivative, finite difference method, stability and convergence
Year
2015
Journal Fractional Differential Calculus
DOI
Researchers Alimohammad Nazari

Abstract

In this paper a space-time fractional wave equation on a finite domain is considered. The time and space fractional derivative are described in the Caputo sense. We propose a finite difference scheme to solve the space-time fractional wave equation. We discuss about stability and convergence of the method and prove that the finite difference scheme is unconditionally stable and convergent with (τ ^2+h), where τ and h are time and space steps respectively.