Adomian Decomposition Method for Solving the Nonlinear Heat Equation
Journal Title: International Journal of engineering Research and Applications - Year 2017, Vol 7, Issue 4
Abstract
This paper studies the application of the Adomian Decomposition Method to find the exact and approximate solutions of the heat equation with power nonlinearity. First, the relevant literature is studied in understanding the importance and extent of applicability of the method in the applied science. The literature review has been incorporated in the introduction of the paper. The rest of the paper is divided in three further sections. The first part Adomian Decomposition Method provides a step-by-step guide of applying the method on any heat equation with nonlinearity. The second section is labeled as Applications. It considers two examples from the previous works of Pumak (2005) and Hetmaniok et al. (2010) to find the exact and approximate solutions of the equations respectively
Authors and Affiliations
Shawqi Malek Alhaddad
Keywords
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