AN APPROXIMATE SOLUTION FOR SOLVING THE SYSTEM OF  FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND

Fawziah M Al-saar; Kirtiwant P Ghadle

doi:10.48165/

Authors

Fawziah M Al-saar Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra 431004, India.
Kirtiwant P Ghadle Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra 431004, India.

DOI:

https://doi.org/10.48165/

Keywords:

System of Fredholm integral equations, Adomian decomposition method, modified Adomian decomposition method

Abstract

n 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.

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