Analytical and Numerical Analysis of Newell--Whitehead--Segel equations by HAM


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Authors

  • Ankita Sharma Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, Uttar Pradesh, India
  • Rajan Arora Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, Uttar Pradesh, India

Keywords:

HAM, Newell-Whitehead-Segel equation

Abstract

In this paper, we employ Homotopy Analysis Method (HAM) to Newell--Whitehead--Segel equation which is used in different fields of sciences like bio-engineering, chemical engineering, biology, mechanical engineering and ecology etc. Approximate series solutions have been obtained and the results are compared with the closed form solutions of the equation which shows that this technique gives high accurate results. HAM is a reliable technique, easy to use and is widely applicable to a large class of non-linear differential equations.

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Published

15-06-2019

How to Cite

Ankita Sharma, & Rajan Arora. (2019). Analytical and Numerical Analysis of Newell--Whitehead--Segel equations by HAM. International Journal of Mathematics And Its Applications, 7(2), 105–113. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/253

Issue

Vol. 7 No. 2 (2019)

Section

Research Article

License

Creative Commons License

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