Monotone scheme for nonlinear first-order hyperbolic initial-boundary value problems

被引：2

作者：

Ackleh, AS ^{[1
]}

Deng, K ^{[1
]}

机构：

[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 05期

关键词：

hyperbolic IBVP; upper-lower solutions; monotone approximation;

D O I：

10.1016/S0893-9659(00)00042-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a computationally attractive monotone scheme for a class of first-order hyperbolic initial-boundary value problems. We also show that such a scheme possesses a linear convergence to the solutions of problems being considered. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：111 / 119

页数：9

共 10 条

[1] ACKLEH AS, 1997, APPL ANAL, V67, P283
[2] ACKLEH AS, 1993, THESIS U TENNEESSEE
[3] AIKMAN DP, 1992, INDIVIDUAL-BASED MODELS AND APPROACHES IN ECOLOGY, P472
[4] Banks H. T., 1989, ESTIMATION TECHNIQUE
[5] BANKS HT, 1991, INT S NUM M, V100, P35
[6] BELLMAN R, 1973, METHODS NONLINEAR AN, V2
[7] FORD ED, 1992, INDIVIDUAL-BASED MODELS AND APPROACHES IN ECOLOGY, P363
[8] Ladde GS., 1985, MONOTONE ITERATIVE T
[9] Pao C.V., 1992, NONLINEAR PARABOLIC, DOI DOI 10.1007/978-1-4615-3034-3
[10] Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI [10.1007/978-1-4612-5561-1, DOI 10.1007/978-1-4612-5561-1]

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