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Hamid Esmaili

Academic rank: Professor
ORCID:
Education: PhD.
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HIndex:
Faculty: Faculty of Science
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Research

Title
Numerical solution of Volterra-Fredholm integral equation via hyperbolic basis functions
Type
JournalPaper
Keywords
block-pulse functions, hyperbolic basis functions, operational matrix, Volterra-Fredholm integral equation
Year
2020
Journal INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS
DOI
Researchers Hamid Esmaili ، ، Vahideh Hooshyarbakhsh

Abstract

In this paper, a new method using hyperbolic basis functions is presented to solve second kind linear Volterra-Fredholm integral equation. In other words, our method approximates the solution of a Volterra-Fredholm integral equation by the hyperbolic basis functions, which produce block-pulse functions. Hence, the new method reduces the linear Volterra-Fredholm integral equation to a system of algebraic equations. Some numerical examples are provided to illustrate the computational efficiency .and accuracy of the new method