A numerical algorithm for the nonlinear Kirchhoff string equation

被引：0
|
作者：
Jemal Peradze
机构：
[1] Tbilisi State University,Department of Applied Mathematics and Computer Sciences
来源：
Numerische Mathematik | 2005年 / 102卷
关键词：
65 M;
D O I：
暂无
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学科分类号：
摘要：
The initial boundary value problem is considered for the dynamic string equation [inline-graphic not available: see fulltext]. Its solution is found by means of an algorithm, the constituent parts of which are the Galerkin method, the modified Crank-Nicolson difference scheme used to perform approximation with respect to spatial and time variables, and also a Picard type iteration process for solving the system of nonlinear equations obtained by discretization. Errors of the three parts of the algorithm are estimated and, as a result, its total error estimate is obtained.
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页码：311 / 342
页数：31
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