Homotopy analysis method for solving fuzzy Nonlinear Volterra integral equation of the second kind

Authors

DOI:

https://doi.org/10.52866/ijcsm.2024.05.03.026

Keywords:

Fuzzy numbers, Fuzzy Volterra nonlinear and nonhomogeneous integral equations, Homotopy analysis method

Abstract

This paper introduces the homotopy analytic HAM, an effective and reliable method for solving computationally challenging fuzzy Volterra nonlinear integral equations of the second type. Numerical examples are provide to demonstrate the accuracy of  HAM. To check for existence and uniqueness, the study employs the  Banach fixed point theory and homotopy analysis. Finally the study resolves our issue using the MAPLE programme.         

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Published

2024-08-06

How to Cite

[1]
R. Hussein and Moez Khenissi, “Homotopy analysis method for solving fuzzy Nonlinear Volterra integral equation of the second kind ”, Iraqi Journal For Computer Science and Mathematics, vol. 5, no. 3, pp. 428–440, Aug. 2024.
CITATION
DOI: 10.52866/ijcsm.2024.05.03.026
Published: 2024-08-06

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Articles