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

  • Bahram Agheli Islamic Azad University, Qaemshahr
  • Rahmat Darzi Islamic Azad University, Neka
Keywords: Partial differential equations; Optimum homotopic asymptotic; Caputo derivative.


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.