An optimum parameter method to obtain numerical solutions of the fractional partial differential equations

Authors

  • Bahram Agheli Islamic Azad University, Qaemshahr
  • Rahmat Darzi Islamic Azad University, Neka

Keywords:

Partial differential equations; Optimum homotopic asymptotic; Caputo derivative.

Abstract

The main purpose of this article is to use a method with a free parameter which is named optimum asymptotic homotopic method (OHAM) in order to obtain the solution of differential equations, partial differential equations and a system of coupled partial differential equations featuring fractional derivative. This method is preferable to others since it has faster convergence toward homotopic perturbation method as well as the convergence rate can be set as controlled area. Various examples are given to better understand the use of this method compared with other methods as well.

Downloads

Published

2019-09-18

How to Cite

Agheli, B., & Darzi, R. (2019). An optimum parameter method to obtain numerical solutions of the fractional partial differential equations. International Journal of Maps in Mathematics, 2(2), 159–174. Retrieved from https://simadp.com/journalmim/article/view/34

Issue

Vol. 2 No. 2 (2019): International Journal of Maps in Mathematics

Section

Articles

License

The copyright to the article is transferred to body International Journal of Maps in Mathematics effective if and when the article is accepted for publication.

  • The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, microform, electronic form (offline, online) or any other reproductions of similar nature.
  • An author may make his/her article published by body International Journal of Maps in Mathematics available on his/her home page provided the source of the published article is cited and body International Journal of Maps in Mathematics is mentioned as copyright owner.
  • The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors. After submission of this agreement signed by the corresponding author, changes of authorship or in the order of the authors listed will not be accepted by body International Journal of Maps in Mathematics.