Browsing by Author "Henok Adane"

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    Solution of Nonlinear Wave Equations Using Natural Decomposition Method
    (Addis Ababa University, 2024-09) Henok Adane; Tesfa Biset
    In this thesis, the Natural Decomposition Method, a combination of the Natural Transform Method and the Adomian Decomposition Method is used to obtain solutions to nonlinear wave equations. The method yields an exact solution in a form of a rapidly convergent series with easily computable components. The results we obtained have been compared with the approximate solution of nonlinear wave equations with other solutions by the methods of NDM and ADM. The natural decomposition method works perfectly for nonlinear wave equations.