Generalized implicit Euler method for hyperbolic functional differential equations

被引：2

作者：

Czernous, Wojciech ^{[1
]}

机构：

[1] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland

来源：

MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 08期

关键词：

Quasilinearization; functional difference inequalities; implicit difference methods; NUMERICAL-METHODS; SCHEMES; 1ST;

D O I：

10.1002/mana.200710067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonlinear hyperbolic functional differential equations with initial boundary conditions are considered. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is based on a comparison technique. Nonlinear estimates of the Perron type with respect to the functional variable for given functions are used. Numerical examples are given. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1114 / 1133

页数：20

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