Adomian Decomposition Method for Solving the Nonlinear Heat Equation

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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  • EP ID EP390921
  • DOI 10.9790/9622-07040197100.
  • Views 125
  • Downloads 0

How To Cite

Shawqi Malek Alhaddad (2017). Adomian Decomposition Method for Solving the Nonlinear Heat Equation. International Journal of engineering Research and Applications, 7(4), 97-100. https://europub.co.uk/articles/-A-390921