摘要
本文对广义Improved KdV方程的初边值问题进行了数值研究,提出了一个三层加权平均线性差分格式,分析了差分解的存在唯一性,证明了格式的二阶收敛性和稳定性.数值实验验证了差分格式的有效性.
In this paper, a numerical method for an initial-boundary value problem of the general Improved KdV equation is considered. A three-level average linear-implicit finite difference scheme is proposed and the existence and uniqueness are discussed. It is shown that the finite difference scheme is of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2017年第1期12-18,共7页
Journal of Sichuan University(Natural Science Edition)
