Numerical solution of mixed Volterra-Fredholm integral equations using iterative method via two-variables Bernstein polynomials

This paper is concerned with the numerical solution of mixed Volterra-Fredholm integral equations, based on iterative method and two variable Bernstein polynomials. In the main result, this method has several benefits in proposing an efficient and simple scheme with good degree of accuracy. Our seco...

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Bibliographic Details
Published inBulletin of Computational Applied Mathematics Vol. 6; no. 2; pp. 21 - 41
Main Authors Farkhondeh Hosseini Shekarabi, Reza Ezzati
Format Journal Article
LanguageEnglish
Published Universidad Simón Bolívar 01.09.2018
Subjects
Iterative method
Mixed Volterra-Fredholm integral equations
Two-variable Bernstein polynomials
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Summary:This paper is concerned with the numerical solution of mixed Volterra-Fredholm integral equations, based on iterative method and two variable Bernstein polynomials. In the main result, this method has several benefits in proposing an efficient and simple scheme with good degree of accuracy. Our second main result is to prove the convergence of the method, and to derive an upper bound under assumptions. Numerical experiments are performed for the approximation of the solution of two examples to demonstrate the accuracy and integrity of the method.
ISSN:2244-8659
2244-8659