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.

Downloads

Published

27-12-2017

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, 33(2), 191–206. https://doi.org/10.11113/matematika.v33.n2.816

Issue

Volume 33 (December 2017)

Section

Articles

License

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.