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Amjad Alipanah

Amjad Alipanah

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 16549281500
HIndex:
Faculty: Faculty of Science
Address:
Phone:

Research

Title
Legendre spectral element method for solving Volterra-integro differential equations
Type
JournalPaper
Keywords
Volterra integro-differential equation Spectral element method Legendre polynomials
Year
2020
Journal Results in Applied Mathematics
DOI
Researchers Mahmoud Lotfi ، Amjad Alipanah

Abstract

In this article, we present a spectral element method for numerical solution of linear Volterra integro-differential equations with boundary conditions. First, we obtain discrete form of the problem using the spectral element method. We use the Legendre polynomials for interpolation. Also, the error analysis of the method is considered. Furthermore, the efficiency of the proposed method will be considered through numerical examples.