Abstract
The aim of this paper is to research the Homotopy Perturbation method on heat conduction equation. The heat equation is an important partial differential equation which describes the distribution of heat in a given region over time. The method is applied to solve problems of the homogeneous and non-homogeneous heat equation. The obtained results are found to be accurate and efficient solutions. To show the strength of the method, test problems are discussed and the obtained numerical results are compared to the existing exact solutions and are depicted in terms of plots to reveal its precision and reliability. The results demonstrate that the HPM is very effective and reliable and does not require any restrictive assumption for nonlinear terms.
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This article is part of the topical collection “Enabling Innovative Computational Intelligence Technologies for IOT” guest edited by Omer Rana, Rajiv Misra, Alexander Pfeiffer, Luigi Troiano and Nishtha Kesswani.
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Fatima, N. The Study of Heat Conduction Equation by Homotopy Perturbation Method. SN COMPUT. SCI. 3, 65 (2022). https://doi.org/10.1007/s42979-021-00947-4
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DOI: https://doi.org/10.1007/s42979-021-00947-4