摘要
对于Rosenau-Burgers方程,提出了一种新的线性的三层差分格式,该格式在空间和时间上具有二阶精确.利用离散能量法证明差分解的收敛性和稳定性,并用数值实验验证该方法的可靠性.
A finite difference method for Rosenau-Burgers equation is considered.A linearized three level difference scheme,which is second order accurate in both space and time,is proposed.Convergence and stability of difference solution are proved by the means of discrete energy method.Numerical experiments validate that the method is reliable and spends less CPU time than the Crank-Nicolson scheme in implementation.
出处
《河北师范大学学报(自然科学版)》
CAS
北大核心
2012年第6期564-568,共5页
Journal of Hebei Normal University:Natural Science
基金
国家自然科学基金(11161041)
中央高校基本科研业务费专项资金(zyz2011079)