Browsing by Author "Endalew Kebede"

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    Numerical Solutions of Nonlinear Heat Equations Using Adomain Decomposition and Natural Decomposition Methods
    (Addis Ababa University, 2024-09) Endalew Kebede; Tesfa Biset
    The Adomian decomposition method (ADM) is a powerful method which considers approximate solution of a non-linear equation as an infinite series which usually converges to the exact solution in the form of a rapid convergent series with easily computable components.Accrdingly, it is found to study the method to obtain solution of nonlinear heat equations. The method is a combination of Natural Transform Method (NTM) and Adomian Decomposition Method (ADM) which gives an exact solution. The exact solutions we obtained have been compared with the approximate solution of the nonlinear heat equations. ADM is able to solve this type of equations effectively and accurately without any need for discretization, perturbation, transformation and linearization.