Abstract

A second-order accurate finite-difference scheme based on existing methods is proposed for the numerical solution of the one-dimensional Burgers equation. A stability condition is given under which the integration time step does not depend on the value of the viscous term. The numerical results produced by the scheme are compared with the exact solution of the Burgers equation.

中文翻译：

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Burgers方程数值解的差分格式

摘要

针对一维Burgers方程的数值解，提出了一种基于现有方法的二阶精确有限差分格式。给出了一个稳定条件，在该条件下积分时间步长不取决于粘性项的值。将该方案产生的数值结果与Burgers方程的精确解进行比较。