Article citationsMore>>

Darvishi, M.T., Kheybari, S. and Khani, F. (2008) Spectral Collocation Method and Darvishi’s Preconditionings to Solve the Generalized Burgers-Huxley Equation. Communications in Nonlinear Science and Numerical Simulation, 13, 2091-2103.
http://dx.doi.org/10.1016/j.cnsns.2007.05.023

has been cited by the following article:

• TITLE: On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method

  AUTHORS: S. Salman Nourazar, Mohsen Soori, Akbar Nazari-Golshan

  KEYWORDS: Burgers-Huxley Equation, Homotopy Perturbation Method, Nonlinear Differential Equations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.3, March 23, 2015

  ABSTRACT: The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley non-linear differential equations. Three case study problems of Burgers-Huxley are solved using the HPM and the exact solutions are obtained. The rapid convergence towards the exact solutions of HPM is numerically shown. Results show that the HPM is efficient method with acceptable accuracy to solve the Burgers-Huxley equation. Also, the results prove that the method is an efficient and powerful algorithm to construct the exact solution of non-linear differential equations.