The Approximate Solutions of Fredholm Integral Equations by Adomian Decomposition Method and its Modification


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Authors

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

Keywords:

Adomian decomposition method, modified Adomian decomposition method, linear and nonlinear Fredholm integral equations of the second kind, Taylor expansion

Abstract

In this paper, a modification of Adomian decomposition method (MADM) for solving linear and nonlinear Fredholm integral equations of the second kind has been introduced. This new method is resulted from Adomian decomposition method (ADM) by a simple modification. This modification is based on the existence of Taylor expansion. To illustrate the modification on ADM, some examples are presented. Comparison of the result of applying the MADM and ADM revealing the new technique is very effective and convenient.

 

Author Biographies

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

 

 

Kirtiwant P. Ghadle, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India

 

 

Priyanka A. Pathade, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India

 

 

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Published

15-05-2018

How to Cite

Fawziah M. Al-saar, Kirtiwant P. Ghadle, & Priyanka A. Pathade. (2018). The Approximate Solutions of Fredholm Integral Equations by Adomian Decomposition Method and its Modification. International Journal of Mathematics And Its Applications, 6(2 - A), 327–336. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/679

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

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