Solving fuzzy system for Volterra-Fredholm integral equations of the second kind using homotopy perturbation method

Mahasin Thabet Younis; Waleed Al-Hayani

Authors

Mahasin Thabet Younis College of Computer Science and Mathematics, University of Mosul https://orcid.org/0000-0002-0649-2013
Waleed Al-Hayani Department of Mathematics, College of Computer Science and Mathematics, University of Mosul

Abstract

In the current research, the linear fuzzy system of the Volterra-Fredholm integral equations (FSVFIEs) is solved using the homotopy perturbation method (HPM). The Banach contraction fixed point is used to demonstrate the convergence of the solution under the established approximate scheme. The symmetric fuzzification solution is obtained by using convex symmetrical triangular fuzzy numbers. To verify the accuracy and efficacy of this method to handling FSVFIEs, the approximate and exact solutions are compared. Results from numerically solving examples of FSVFIEs are used to test the effectiveness of the suggested approach. These results show that the suggested strategy is highly effective and that the suggested method is easy to use.

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