有限差分法和隐式龙格库塔法求解Burgers方程
Journal of Changchun University of Science and Technology(Natural Science Edition)(2013)
Abstract
提出一个新的方法求解一维Burgers方程,组合使用有限差分法和隐式龙格库塔法求解Burgers方程。首先使用二阶有限差分法进行空间离散,得到一个常微分方程组,然后使用高阶A稳定的隐式龙格库塔法求解常微分方程组,最后比较数值解和精确解,数值结果证实该方法有很高的精度和稳定性。
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Key words
burgers equation,implicit runge-kutta method,finite difference method,high accuracy
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