An explicit finite-difference scheme for the solution of the kadomtsev-petviashvili equation
An explicit finite-difference scheme for the solution of the kadomtsev-petviashvili equation
复制标题
求解 kadomtsev-petviashvili 方程的显式有限差分格式
DOI：
10.1080/00207169808804685
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
E. H. Twizell
中科院分区：
文献类型：
--
作者：
A. G. Bratsos;E. H. Twizell
有限差分法用于将与非线性 Kadomtsev-Petviashvili 方程相关的初始/边界值问题转换为显式格式。该数值方法是通过用中心差近似代替时间和空间导数而发展起来的。分析所得的有限差分方法的局部截断误差、稳定性和收敛性。给出了许多数值实验的结果。
A finite-difference method is used to transform the initial/boundary-value problem associated with the nonlinear Kadomtsev-Petviashvili equation, into an explicit scheme. The numerical method is developed by replacing the time and space derivatives by central-difference approximants. The resulting finite-difference method is analysed for local truncation error, stability and convergence. The results of a number of numerical experiments are given.