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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Neelam Gupta & Neel Kanth, 2019. "Analytical Approximate Solution Of Heat Conduction Equation Using New Homotopy Perturbation Method ," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 3(2), pages 01-07, July.
    • Handle: RePEc:zib:zbmsmk:v:3:y:2019:i:2:p:01-07
    DOI: 10.26480/msmk.02.2019.01.07
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