Multi-level adaptive solutions to initial-value problems

被引：0

作者：

Shamardan, A.B. ^{[1
]}

Essa, Y.M. Abo ^{[2
]}

机构：

[1] Department of Mathematics, Faculty of Science, Elmenia University, Egypt

[2] Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884 Cairo, Egypt

来源：

Journal of Applied Mathematics and Computing | 2000年 / 7卷 / 01期

关键词：

One dimensional - Nonlinear equations;

D O I：

10.1007/bf03009939

中图分类号：

O172 [微积分];

学科分类号：

摘要：

A multigrid algorithm is developed for solving the one-dimensional initial boundary value problems. The numerical solutions of linear and nonlinear Burgers' equation for various initial conditions are studied. The stability conditions are derived by Von-Neumann analysis. Numerical results are presented. © 2000 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

引用

下载

页码：215 / 222

共 50 条

[31] CHARACTERISTIC INITIAL-VALUE AND MIXED PROBLEMS
MULLERZUMHAGEN, H
SEIFERT, HJ
GENERAL RELATIVITY AND GRAVITATION, 1977, 8 (04) : 259 - 301
[32] Symmetry analysis of initial-value problems
Hydon, PE
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (01) : 103 - 116
[33] FUNCTIONAL CHARACTERISTIC INITIAL-VALUE PROBLEMS
GEORGIOU, D
KREITH, K
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 107 (02) : 414 - 424
[34] INITIAL-VALUE PROBLEMS IN THE LOGARITHMIC ALGEBRA
NIEDERHAUSEN, H
DISCRETE MATHEMATICS, 1991, 94 (01) : 23 - 37
[35] INITIAL-VALUE PROBLEMS FOR VISCOELASTIC LIQUIDS
RENARDY, M
LECTURE NOTES IN PHYSICS, 1984, 195 : 333 - 345
[36] INITIAL-VALUE PROBLEM OF GENERAL RELATIVITY .2. STABILITY OF SOLUTIONS OF INITIAL-VALUE EQUATIONS
OMURCHADHA, N
YORK, JW
PHYSICAL REVIEW D, 1974, 10 (02) : 437 - 446
[37] SOME STABILITY ASPECTS OF SCHEMES FOR THE ADAPTIVE INTEGRATION OF STIFF INITIAL-VALUE PROBLEMS
DIECI, L
ESTEP, D
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1991, 12 (06): : 1284 - 1303
[38] INITIAL-VALUE TRANSFORMATIONS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
ANGEL, E
JAIN, A
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 35 (03) : 496 - &
[39] 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
[40] EXISTENCE OF GENERALIZED SOLUTIONS AND CONVERGENCE OF DIFFERENCE METHODS FOR NONLINEAR INITIAL-VALUE PROBLEMS
REINHARDT, HJ
MANUSCRIPTA MATHEMATICA, 1975, 17 (02) : 151 - 170

← 1 2 3 4 5 →