The New Homotopy Perturbation Method (NHPM) for Nonlinear Parabolic Equation in Chemical Sciences


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Authors

  • K. P. V. Preethi Department of Mathematics, E.M.G. Yadava Women’s College, Madurai, Tamilnadu, India
  • M. Chitra Devi Department of Mathematics, Sethu Institute of Technology, Kariapatti, Tamilnadu, India
  • R. Swaminathan Department of Mathematics, Vidhyaa Giri College of Arts & Science, Tamilnadu, India
  • R. Poovazhaki Department of Mathematics, E.M.G. Yadava Women’s College, Madurai, Tamilnadu, India

Keywords:

Nonlinear equation, New homotopy perturbation method, Parabolic equation

Abstract

In this paper, we have presented new homotopy perturbation method (NHPM) to solve the system of nonlinear parabolic equation in chemical sciences. The NHPM allows for the solution of the nonlinear parabolic equations to be calculated in the form of a series with easily computable term by converting a non-linear differential equation into linear differential equation. The obtained results are presented and only one iteration is required to obtain an approximate solution that is accurate and efficient. Simple analytical expressions for the concentration of substrate and product have been derived for all values of reaction parameters using the new homotopy perturbation method (NHPM). The analytical results are also compared with numerical ones and a good agreement is obtained.

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Published

20-01-2018

How to Cite

K. P. V. Preethi, M. Chitra Devi, R. Swaminathan, & R. Poovazhaki. (2018). The New Homotopy Perturbation Method (NHPM) for Nonlinear Parabolic Equation in Chemical Sciences. International Journal of Mathematics And Its Applications, 6(1 - B), 359–367. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/933

Issue

Vol. 6 No. 1 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.