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 50 条

[31] THE INITIAL-BOUNDARY VALUE PROBLEMS FOR A CLASS OF SIXTH ORDER NONLINEAR WAVE EQUATION
Xu, Runzhang
Zhang, Mingyou
Chen, Shaohua
Yang, Yanbing
Shen, Jihong
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (11) : 5631 - 5649
[32] On the numerical study of nonlinear initial-boundary value problems or initial-value problems
El-Reheem, ZFA
Nasser, AH
APPLIED MATHEMATICS AND COMPUTATION, 2001, 119 (01) : 1 - 19
[33] On the solvability of first-order discontinuous scalar initial and boundary value problems
Agarwal, RP
Heikkilä, S
ANZIAM JOURNAL, 2003, 44 : 513 - 538
[34] Experiments with stable, high-order difference approximations to hyperbolic initial-boundary value problems
Hagstrom, T
FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 827 - 831
[35] INITIAL-BOUNDARY VALUE-PROBLEMS FOR HYPERBOLIC EQUATIONS WITH UNIFORMLY CHARACTERISTIC BOUNDARY
MAJDA, A
OSHER, S
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (05) : 607 - 675
[36] First-order functional difference equations with nonlinear boundary value problems
Jankowski, Tadeusz
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) : 1937 - 1943
[37] On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points
Nguyen Manh Hung
Nguyen Thanh Anh
ABSTRACT AND APPLIED ANALYSIS, 2013,
[38] Existence of solutions for linear hyperbolic initial-boundary value problems in a rectangle
Huang, Aimin
APPLICABLE ANALYSIS, 2015, 94 (09) : 1897 - 1925
[39] MAXIMUN AND MONOTONICITY PROPERTIES OF INITIAL-BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC EQUATIONS
SATHER, D
PACIFIC JOURNAL OF MATHEMATICS, 1966, 19 (01) : 141 - &
[40] Exponential Stability of Switched Linear Hyperbolic Initial-Boundary Value Problems
Amin, Saurabh
Hante, Falk M.
Bayen, Alexandre M.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (02) : 291 - 301

← 1 2 3 4 5 →