Usage of numerical methods to solve nonlinear mixed Volterra-Fredholm integral equations and their system

Authors : Fawziah ALSAAR, Kirtiwant GHADLE

Pages : 244-262

Doi:10.53006/rna.988774

View : 23 | Download : 12

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :In this paper, we apply the homotopy perturbation method insert ignore into journalissuearticles values(HPM);, modified homotopy perturbation method insert ignore into journalissuearticles values(MHPM);, variational iteration method insert ignore into journalissuearticles values(VIM);, Adomian decomposition method insert ignore into journalissuearticles values(ADM);, and modified Adomian decomposition method insert ignore into journalissuearticles values(MADM); to solve nonlinear mixed Volterra-Fredholm integral equations and its system. We investigate the approximate solution of this equation and its system via proposed methods. The validity and efficiency of these methods are demonstrated through various numerical examples that illustrate the efficiency, accuracy, and simplicity of the proposed methods. Moreover, the convergence and uniqueness of the solution of the suggested methods are confirmed and compared with the exact solutions.
Keywords : Nonlinear mixed Volterra Fredholm integral equations, ADM, MADM, VIM, HPM, MHPM

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