Fixed point method and its improvement for the system of Volterra-Fredholm integral equations of the second kind

Authors

  • Talaat Ismahel Hasan Department of Mathematics, Salahaddin University, 44002 SUH, Erbil, Kurdistan Region, Iraq
  • Shaharuddin Salleh Universiti Teknologi Malaysia

DOI:

https://doi.org/10.11113/matematika.v33.n2.816

Abstract

In this paper, we consider the system of Volterra-Fredholm integral equations of the second kind (SVFI-2). We proposed fixed point method (FPM) to solve SVFI-2 and improved fixed point method (IFPM) for solving the problem. In addition, a few theorems and two new algorithms are introduced.  They are supported by numerical examples and simulations using Matlab. The results are reasonably good when compared with the exact solutions.

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Published

2017-12-27

How to Cite

Hasan, T. I., & Salleh, S. (2017). Fixed point method and its improvement for the system of Volterra-Fredholm integral equations of the second kind. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 33(2), 191–206. https://doi.org/10.11113/matematika.v33.n2.816

Issue

Volume 33 (December 2017)

Section

Articles

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Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.