Bulletin of Pure and Applied Sciences
  • Year: 2019
  • Volume: 38e
  • Issue: 1

An Approximate Solution For Solving The System of Fredholm Integral Equations of The Second Kind

  • Author:
  • Fawziah M Al-saar1,2,, Kirtiwant P Ghadle3
  • Total Page Count: 38
  • Published Online: Jun 1, 2019
  • Page Number: 171 to 208

1Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra431004, India

2Department of Mathematics, Faculty of Education and Languages, Amran University, Amran, Yemen

3Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra431004, India

**Corresponding Author: Fawziah Mohammad Al-saar, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra 431004, India. E-mail: ombraah20016@gmail.com

Abstract

In this article, we make a comparison between the Adomian decomposition method (ADM) and the modified Adomian decomposition method (MADM) to approximate the solution of the system of Fredholm integral equations of the second kind. The MADM is shown here to result from the ADM by a simple modification of the latter. A numerical example is given to demonstrate the efficiency and applicability of the methods developed by us here and a comparison between the results of applying the ADM and the MADM is also made for revealing that these new techniques employed here by us are very powerful and effective.

Keywords

System of Fredholm integral equations, Adomian decomposition method, modified Adomian decomposition method, 45B05, 45D05, 65M55, 70E20