The Adomian Decomposition Method (ADM) is a very successful method for solving a wide range of nonlinear partial and ordinary differential equations, having substantial applications in applied mathematics, engineering, physics, and biology.
The Modified Adomian Decomposition Approach, on the other hand, is a non-numerical method that may be used to solve parabolic equations. The decomposition method's principle is discussed in this work, and its benefits are illustrated using parabolic equations.
However, because very few nonlinear systems can be solved explicitly, the answer is usually approximated using a numerical approach.
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