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

Main Article Content

Justina Mulenga
Patrick Azere Phiri

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.

Keywords:
Neumann boundary conditions, Adomian decomposition method, new modified adomian decomposition method.

Article Details

How to Cite
Mulenga, J., & Phiri, P. A. (2020). Solution of Two-Point Linear and Nonlinear Boundary Value Problems with Neumann Boundary Conditions Using a New Modified Adomian Decomposition Method. Journal of Advances in Mathematics and Computer Science, 35(7), 49-60. https://doi.org/10.9734/jamcs/2020/v35i730303
Section
Method Article

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