Solving Two-dimensional Linear Volterra-Fredholm Integral Equations of the Second Kind by Using Series Solution Methods

Authors

  • Rostam K. Saeed Salahaddin University, College of Science, Department of Mathematics, Erbil, Kurdistan Region, Iraq. Author
  • Karzan A. Berdawood Salahaddin University, College of Science, Department of Mathematics, Erbil, Kurdistan Region, Iraq. Author

DOI:

https://doi.org/10.17656/jzs.10442

Keywords:

Volterra-Fredhom integral equations, Power Series, Orthogonal Functions

Abstract

In this paper, we focus on obtaining an approximate solution of the two types of two- dimensional linear Volterra-Fredhom integral equations of the second kind. Series   solution method is reformulated and applied with different bases functions for finding an approximate solution (sometimes the exact solution) for the above two types of integral equations. This is done by computer program with the aid of the Maple code program version 13 for all the above prescribed methods. Furthermore, we proved some theoretical results on the convergence analysis of the presented methods.

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Published

2015-08-30

How to Cite

Solving Two-dimensional Linear Volterra-Fredholm Integral Equations of the Second Kind by Using Series Solution Methods. (2015). Journal of Zankoy Sulaimani - Part A, 17(4), 253-270. https://doi.org/10.17656/jzs.10442