Autors: Georgieva A., Naydenova, I. T.
Title: Adomian's Decomposition Method and Homotopy Perturbation Method in Solving Two-Dimensional Volterra-Fredholm Fuzzy Integral Equations
Keywords: homotopy perturbation method, Adomian's decomposition method, nonlinear two-dimensional Volterra-Fredholm fuzzy integral equations

Abstract: 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.

References

    Issue

    7th International Conference on New Trends in the Applications of Differential Equations in Sciences (NTADES), vol. Vol.2321, 2021, Bulgaria, AMER INST PHYSICS, DOI10.1063/5.0040135

    Вид: публикация в международен форум, публикация в реферирано издание, индексирана в Web of Science