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

.

Related Articles

Study of the Induction of Secondary Growth of Alcoholic Yeast Saccharomyces Cerevisiae

The results of the study of the effect of MgSO4, CuSO4 and ultraviolet irradiation on the induction of secondary growth of the colonies of alcohol yeast Saccharomyces cerevisiae are presented. It was found that secondary...

Design and Implementation of Experimental Set-up for Property Assessment of NiTiNol Shape Memory Actuator Springs

This study aims to design and implement an experimental set-up to make property assessment of NiTiNol Shape Memory Actuator Springs. Having the right material characteristics for Nickel Titanium based alloy, shortly name...

Biogas Production Potentials Of Cassava Peels Co-Digested With Yam Peels Using A Batch Reactor At Meshophilic Temperature

Sustainable energy sources are considered to be a pre-requisite for the development of human and global prosperity. The mono-digestion of farm residues is considered to have a lower biogas potential than codigestion. Thi...

Analysis of the Noncompliance Factor against Regulation Legislation and Its Effect on the Quality of Financial Reporting (The empirical Study at the Provincial / District / City All Indonesia)

This research was conducted with the background of the phenomena that occur under BPKRI audit that the poor quality of financial reporting in the government particularly provincial and city / district characterized by po...

Analysis and Improvement of the Steering Characteristics of an ATV

The main objective is to analyze the steering characteristics of an ATV (All Terrain vehicles) in order to improve the maneuverability of the vehicle. It is found that in our last year’s BAJA buggy the vehicle oversteerd...

Download PDF file
  • EP ID EP390921
  • DOI 10.9790/9622-07040197100.
  • Views 126
  • 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