General Improved KdV方程的三层加权平均线性差分格式

Three-level average linear difference scheme for the general improved KdV equation

摘要:

论文对广义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, 数值试验验证了差分格式的有效性.

Abstract:

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.