Numerical solution of 2D-fuzzy Fredholm integral equations using optimal homotopy asymptotic method

This paper deals with the solution of system of 2D-fuzzy Fredholm integral equations (2D-FFIEs) depend upon the parametric form fuzzy number; using an efficient algorithm called Optimal Homotopy Asymptotic Method (OHAM). The efficiency and effectiveness of the proposed technique is tested upon some...

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Bibliographic Details
Main Authors: Sumbal Ahsan, Rashid Nawaz, Muhammad Akbar, Kottakkaran Sooppy Nisar, Emad E. Mahmoud, M.M. Alqarni
Format: Article
Language:English
Published: Elsevier 2021-04-01
Series:Alexandria Engineering Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820306980
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Summary:This paper deals with the solution of system of 2D-fuzzy Fredholm integral equations (2D-FFIEs) depend upon the parametric form fuzzy number; using an efficient algorithm called Optimal Homotopy Asymptotic Method (OHAM). The efficiency and effectiveness of the proposed technique is tested upon some numerical example and the results are compared with modified homotopy perturbation method, 2D triangular function method and Lagender interpolation. It is observed from the results that the suggested method is accurate, straightforward and convenient to solve the 2D-fuzzy Fredholm integral equations.
ISSN:1110-0168