Solution of the Second Order Ordinary Differential Equations Using Adomian Decomposition Method

Abstract

In this paper, the Adomian Decomposition Method (ADM) is employed in solving second order ordinary differential equation. Numerical algorithm was developed. The decomposition method provides a solution as an infinite series in which terms can easily be determined. It is observed that the method is practically suited for initial value problems. The method is effective and easy to implement. The results were presented in both tabular and graphical forms.

Computational Solution of Fractional Reaction Diffusion Equations via an Analytical Method

“…Natural phenomena have significant implications for applied mathematics, physics, and engineering; many of these physical phenomena are expressed as fractional order linear and nonlinear PDEs. Obtaining approximate or exact solutions to those PDEs is a constant problem that necessitates the development of novel methods for obtaining approximate or exact solutions [19][20][21][22][23][24]. Many areas of interest, such as chemical processes, chemistry, thermodynamics, bioinformatics, coral reefs, and engineering, use reaction-diffusion equations as a model for many evolution phenomena.…”