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Research Article Open access CC BY 4.0

Solution of Two-Point Linear and Nonlinear Boundary Value Problems with Neumann Boundary Conditions Using a New Modified Adomian Decomposition Method

Justina Mulenga, Patrick Azere Phiri

Journal of Advances in Mathematics and Computer Science · pp. 49–60 · Published 26 Sep 2020

10.9734/jamcs/2020/v35i730303

Abstract

In this paper, we present the New Modified Adomian Decomposition Method which is a modification of the Modified Adomian Decomposition Method. The new method incorporates the inverse linear operator theorem into the modified Adomian decomposition method for the calculation of u0. Six linear and nonlinear boundary value problems with Neumann conditions are solved in order to test the method. The results show that the method is effective.

Neumann boundary conditions Adomian decomposition method new modified adomian decomposition method.

Cited by 1

Utilization of the Modified Adomian Decomposition Method on the Bagley-Torvik Equation Amidst Dirichlet Boundary Conditions

Mariam Al-Mazmumy, Mona Alsulami · European Journal of Pure and Applied Mathematics · 2024

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