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Amjad Alipanah

Amjad Alipanah

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 16549281500
Faculty: Faculty of Science
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Research

Title
SOLUTION OF HALLEN'S INTEGRAL EQUATION BY USING RADIAL BASIS FUNCTIONS
Type
JournalPaper
Keywords
Hallen's integral equation, interpolation, radial basis functions, Legendre-Gauss-Lobatto nodes, numerical results
Year
2013
Journal MATHEMATICAL REPORTS
DOI
Researchers Amjad Alipanah

Abstract

In this paper, we present a numerical method for solving Hallen's integral equation based on radial basis functions (RBFs). This method will represent the solution of Hallen's integral equation by interpolating the radial basis functions based on Legendre-Gauss-Lobatto (LGL) nodes and weights. The numerical results show that the proposed method for Hallen's integral equation is very accurate and efficient.