Author(s)

Justina Mulenga^*, Patrick Azere Phiri

Department of Mathematics, School of Mathematics and Natural Sciences, The Copperbelt University, Kitwe, Zambia.

The Modified Adomian Decomposition Method (MADM) is presented. A number of problems are solved to show the efficiency of the method. Further, a new solution scheme for solving boundary value problems with Neumann conditions is proposed. The scheme is based on the modified Adomian decomposition method and the inverse linear operator theorem. Several differential equations with Neumann boundary conditions are solved to demonstrate the high accuracy and efficiency of the proposed scheme.

Neumann Conditions, Modified Adomian Decomposition Method, Solution Scheme, New Modified Adomian Decomposition Method, Differential Equations

Mulenga, J. and Phiri, P. (2023) Solving Different Types of Differential Equations Using Modified and New Modified Adomian Decomposition Methods. Journal of Applied Mathematics and Physics, 11, 1656-1676. doi: 10.4236/jamp.2023.116108.