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Adomian's Decomposition Method and Homotopy Perturbation Method in Solving Two-Dimensional Volterra-Fredholm Fuzzy Integral Equations
Conference proceeding   Peer reviewed

Adomian's Decomposition Method and Homotopy Perturbation Method in Solving Two-Dimensional Volterra-Fredholm Fuzzy Integral Equations

Atanaska Georgieva and Iva Naydenova
SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020), Vol.2321(1)
AIP Conference Proceedings
24/02/2021

Abstract

Mathematics Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
In this paper, we conduct a comparative study between the homotopy perturbation method (HPM) and Adomian's decomposition method (ADM) for analytic treatment of nonlinear two-dimensional Volterra-Fredholm fuzzy integral equations (2D-VFFIE) and we show that the HPM with a specific convex homotopy is equivalent to the ADM for these type of equations.

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