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

作　　者：A. G. Bratsos 

机构地区：[1]不详

出　　处：《American Journal of Computational Mathematics》2011年第3期152-158,共7页美国计算数学期刊（英文）

摘　　要：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.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.

关 键 词：Burgers-Huxley FINITE-DIFFERENCE Method Modified PREDICTOR-CORRECTOR 

分 类 号：O1[理学—数学]