广义Burgers - Huxley方程的一种四阶改进数值格式

Am. J. Comput. Math. Pub Date : 2011-09-19 DOI:10.4236/ajcm.2011.13017

A. G. Bratsos

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引用次数: 41

摘要

针对广义Burgers—Huxley方程的数值解，提出了两时间水平递推关系下的四阶有限差分格式。采用一种改进的预测校正方法对非线性系统进行了稳定性分析。采用适当的边界值和条件对扭结波进行了效率测试。实验结果与现有文献中已知的相关结果进行了比较。

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

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.

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Am. J. Comput. Math.

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