An explicit finite-difference scheme for the solution of the Kadomtsev-Petviashvili equation

被引：11

作者：

Bratsos, AG ^{[1
]}

Twizell, EH

机构：

[1] Technol Educ Inst Athens, Dept Math, Athens 12210, Greece

[2] Brunel Univ, Dept Math & Stat, Uxbridge UB8 3PH, Middx, England

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1998年 / 68卷 / 1-2期

关键词：

Kadomtsev-Petviashvili equation; finite-difference method; explicit scheme;

D O I：

10.1080/00207169808804685

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：175 / 187

页数：13