Article citationsMore>>

O. Yu. Yefimova and N. A. Kudryashov, “Exact Solutions of the Burgers-Huxley Equation,” Journal of Applied Mathematics and Mechanics, Vol. 68, No. 3, 2004, pp. 413-420. doi:10.1016/S0021-8928(04)00055-3

has been cited by the following article:

• TITLE: A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation

  AUTHORS: A. G. Bratsos

  KEYWORDS: Burgers-Huxley, Finite-Difference Method, Modified Predictor-Corrector

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.1 No.3, September 19, 2011

  ABSTRACT: A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, which is analysed for stability, is solved using an improved predictor-corrector method. The efficiency of the proposed method is tested to the kink wave using both appropriate boundary values and conditions. The results arising from the experiments are compared with the relevant ones known in the available bibliography.