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Khosro Sayevand

Khosro Sayevand

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Mathematical Sciences and Statistics
Address: Malayer University
Phone: 081-33398981

Research

Title
A reliable implicit di erence scheme for treatments of fourth-order fractional sub-di usion equation
Type
JournalPaper
Keywords
Ji Huan He's fractional derivative; Convergence; Finite difference approximation; Fractional differential equations; Stability
Year
2016
Journal Scientia Iranica
DOI
Researchers Khosro Sayevand

Abstract

In this paper, a reliable implicit di erence scheme is proposed to analyze the fractional fourth-order subdi usion equation on a bounded domain. The time-fractional derivative operator is characterized in the Ji Huan He's sense, and the space derivative is approximated by the ve-point centered formula. The numerical parameters, i.e. consistency, stability, and convergence analyses of the considered scheme, are proven.