An efficient numerical technique for the solution of nonlinear heat equation via spectral method

  • Authors

    • Mohammadreza Askaripour Lahiji Department of Mathematics, Islamic Azad University, Astaneh Ashrafieh Branch, Astaneh Ashrafieh, Iran
    • Mahdi Ghanbari Department of Mathematics, Islamic Azad University, Khorramabad Branch, Khorramabad, Iran
    • Hassan Panj Mini Technical and Vocational University Lahijan (Shaid Rajaei) Branch, Lahijan, Iran
    2015-07-14
    https://doi.org/10.14419/ijamr.v4i3.4591
  • Exponential Methods, Integration Factor Methods, Exponential Time Differencing Methods, Runge-Kutta Method.

  • Abstract

    Nonlinear wave equations are more difficult to study mathematically, and no general analytical method exists for their solution. It is found that the Exponential Time Differencing (ETD) scheme requires the steps to achieve a given accuracy, offers a speedy method in calculation time, and has exceptional stability properties in solving a nonlinear equation. This article solves the diagonal example of nonlinear heat equation via the exponential time difference Runge-Kutta 4 methods (ETDRK4). Implementation of the method is proposed by short Matlab programs.

  • References

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  • How to Cite

    Askaripour Lahiji, M., Ghanbari, M., & Panj Mini, H. (2015). An efficient numerical technique for the solution of nonlinear heat equation via spectral method. International Journal of Applied Mathematical Research, 4(3), 437-441. https://doi.org/10.14419/ijamr.v4i3.4591

    Received date: 2015-04-07

    Accepted date: 2015-05-04

    Published date: 2015-07-14