A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations
A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations
复制标题
求解一类变系数时滞偏微分方程的克兰克-尼科尔森差分格式
DOI：
10.1155/2014/560567
复制
发表时间：
2014-01-01
影响因子：
--
通讯作者：
Wang, Peng
中科院分区：
文献类型：
--
作者：
Gu, Wei;Wang, Peng
构造了一种线性化的Crank-Nicolson差分格式，求解一类变系数时滞偏微分方程。证明了该差分格式是无条件稳定和收敛的，其中收敛阶在空间和时间上均为2。最后通过数值试验验证了理论结果。
A linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations. The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time. A numerical test is provided to illustrate the theoretical results.