摘要
给出了RLW方程ut+auux-δuxxt=0的基于混合有限元法的一种最低阶的差分格式 ,并给出数值解的例子 ,与以往的处理RLW方程的有限差分法不同之处是该方法能同时求出流体的波峰及其流通量的近似解 ,而且得到的数值解具有很好的稳定性 .
In this paper,a lowest order difference scheme based on mixed finite element method for the 1\|D Regularized Long Wave(RLW) equation u\-t+auu\-x-δu xxt=0 is derived,and two examples of numerical simulation are also given.By using this difference scheme,the numerical solution of the amplitude of the wave with respect to the level of undisturbed fluid and its flux can be found together; moreover,the computational accuracy for the flux is high and numerical model is stable,which is different from other difference scheme.
出处
《首都师范大学学报(自然科学版)》
2002年第4期1-6,共6页
Journal of Capital Normal University:Natural Science Edition
基金
国家自然科学基金 (批准号 :10 0 710 5 2 )
北京市教委科技发展基金
北京市优秀人才专项经费
北京市自然科学基金资助项目 .