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Allah Bakhsh Yazdani Cherati

Allah Bakhsh Yazdani Cherati

Academic rank: Associate Professor
ORCID: 0000-0002-3352-5829
Education: PhD.
ScopusId: 57189309801
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302471

Research

Title
Numerical solution of nonlinear time-fractional Cable equation by finite volume element method
Type
JournalPaper
Keywords
finite volume element method, nonlinear systems, Cable equation, Caputo derivative, Von-Neumann stability analysis.
Year
2022
Journal Italian Journal of Pure and Applied Mathematics
DOI
Researchers Allah Bakhsh Yazdani Cherati ، Rohollah Yousefian

Abstract

In this paper, we study the use of finite volume element method and see how we can employ finite element bases to numerical solution of nonlinear time fractional Cable equation in one dimension. Finite element bases are as linear polynomials which are compactly supported. Caputo in the proposed scheme constitutes the fractional derivative. This scheme will be analyzed and the stability of the method will be discussed. Furthermore, the numerical results are compared with analytical solution to ascertain how accurate the presented method is.