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Somayeh Nemati

Somayeh Nemati

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302419

Research

Title
Numerical solution of Volterra–Fredholm integral equations using Legendre collocation method
Type
JournalPaper
Keywords
Volterra–Fredholm integral equations; Shifted Legendre polynomials; Gauss–Legendre nodes; Matrix equation
Year
2015
Journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
Researchers Somayeh Nemati

Abstract

A numerical method for solving the Volterra–Fredholm integral equations is presented. The method is based upon shifted Legendre polynomials approximation. The properties of shifted Legendre polynomials are first presented. These properties together with the shifted Gauss–Legendre nodes are then utilized to reduce the Volterra–Fredholm integral equations to the solution of a matrix equation. An estimation of the error is given. Illustrative examples are included to demonstrate the validity and applicability of the technique.