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Solving Different Types of Differential Equations Using Modified and New Modified Adomian Decomposition Methods

2023; Scientific Research Publishing; Volume: 11; Issue: 06 Linguagem: Inglês

10.4236/jamp.2023.116108

2327-4379

Justina Mulenga, Patrick Azere Phiri,

Nonlinear Waves and Solitons

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.