Modified Adomian Decomposition Method for Solving Fuzzy Volterra-Fredholm Integral Equation

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Authors

  • Ahmed A. Hamoud
     Research Scholar at Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004 ,IN
  • Kirtiwant P. Ghadle
     Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004 ,IN

DOI:

https://doi.org/10.18311/jims/2018/16260

Keywords:

Modied Adomian Decomposition Method, Fuzzy Volterra-Fredholm Integral Equations, Approximate Solution, Existence and Convergence Analysis.
Trigonometry

Abstract

In this paper, a modied Adomian decomposition method has been applied to approximate the solution of the fuzzy Volterra-Fredholm integral equations of the first and second Kind. That, a fuzzy Volterra-Fredholm integral equation has been converted to a system of Volterra-Fredholm integral equations in crisp case. We use MADM to find the approximate solution of this system and hence obtain an approximation for the fuzzy solution of the Fuzzy Volterra-Fredholm integral equation. A nonlinear evolution model is investigated. Moreover, we will prove the existence, uniqueness of the solution and convergence of the proposed method. Also, some numerical examples are included to demonstrate the validity and applicability of the proposed technique.

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Published

2018-01-04

How to Cite

Hamoud, A. A., & Ghadle, K. P. (2018). Modified Adomian Decomposition Method for Solving Fuzzy Volterra-Fredholm Integral Equation. The Journal of the Indian Mathematical Society, 85(1-2), 53–69. https://doi.org/10.18311/jims/2018/16260

Issue

Volume 85, Issue 1-2, January-June 2018

Section

Articles

License

Copyright (c) 2018 Ahmed A. Hamoud, Kirtiwant P. Ghadle

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2017-06-07
Accepted 2017-08-07
Published 2018-01-04

 

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