Analytical Approximate Solution Of Heat Conduction Equation Using New Homotopy Perturbation Method

Neelam Gupta () and Neel Kanth ()
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Neelam Gupta: Research Scholar, Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, 173234, (H.P), India
Neel Kanth: Assistant Professor, Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan 173234, (H.P), India

Matrix Science Mathematic (MSMK), 2019, vol. 3, issue 2, 01-07

Abstract: In this paper, the analytic solution of one-dimensional heat conduction equation is obtained by means of new homotopy perturbation method. This method is effectively applied to obtain the exact solution for the problems on hand. Some problems related to one dimensional heat equation have been discussed, which reveals the effectiveness and simplicity of the method. Numerical results have also been analysed graphically to show the rapid convergence of infinite series expansion.

Keywords: New homotopy perturbation method; Heat conduction equation; Specific heat; Diffusivity; Density (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:3:y:2019:i:2:p:01-07

DOI: 10.26480/msmk.02.2019.01.07

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