Solving two-dimensional Volterra-Fredholm integral equations of the second kind by using Bernstein polynomials

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Abstract

In this paper, we present a numerical method for solving two-dimensional Volterra-Fredholm integral equations of the second kind (2DV-FK2). Our method is based on approximating unknown function with Bernstein polynomials. We obtain an error bound for this method and employ the method on some numerical tests to show the efficiency of the method.

Keywords

Bernstein polynomial two-dimensional Volterra-Fredholm integral equations error estimation 

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Notes

Acknowledgments

We would like to thank the anonymous reviewers for their valuable suggestions and all those who have been associated with this article.

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Copyright information

© Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of MathematicsShahrekord UniversityShahrekordIran

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