Numerical solution for the wave equation

被引：1

作者：

Patricio, M. F. ^{[1
]}

机构：

[1] Univ Coimbra, Dept Math, Coimbra, Portugal

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2009年 / 86卷 / 04期

关键词：

hyperbolic systems; finite differences; stability; FINITE-DIFFERENCE SCHEMES;

D O I：

10.1080/00207160701609532

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study numerical solutions for a hyperbolic system of equations using finite differences. In this setting, we propose the method of lines, with high precision in space. A class of some explicit, implicit and also semi-implicit schemes, with code variable methods, are presented. Finally, the analysis of some qualitative and quantitative proprieties of these methods is included.

引用

页码：589 / 597

页数：9

共 50 条

[21] NUMERICAL-SOLUTION OF AN INVERSE PROBLEM FOR THE WAVE-EQUATION
MEYN, KH
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1981, 61 (05): : T295 - T296
[22] Numerical solution of the regularized long wave equation using nonpolynomial splines
Chegini, N. G.
Salaripanah, A.
Mokhtari, R.
Isvand, D.
NONLINEAR DYNAMICS, 2012, 69 (1-2) : 459 - 471
[23] Numerical solution of the regularized long wave equation using nonpolynomial splines
N. G. Chegini
A. Salaripanah
R. Mokhtari
D. Isvand
Nonlinear Dynamics, 2012, 69 : 459 - 471
[24] ERROR BOUND ON A NUMERICAL SOLUTION OF A QUASI-LINEAR WAVE EQUATION
LYNCH, RE
JOURNAL OF MATHEMATICS AND PHYSICS, 1966, 45 (04): : 370 - &
[25] A numerical solution of the equal width wave equation by a lumped Galerkin method
Esen, A
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (01) : 270 - 282
[26] GROUP EXPLICIT METHODS FOR THE NUMERICAL-SOLUTION OF THE WAVE-EQUATION
SAHIMI, MS
EVANS, DJ
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1988, 15 (6-8) : 699 - 709
[27] AN ADAPTIVE APPROACH TO THE NUMERICAL-SOLUTION OF FRESNELS WAVE-EQUATION
SCHMIDT, F
JOURNAL OF LIGHTWAVE TECHNOLOGY, 1993, 11 (09) : 1425 - 1434
[28] On the exact and numerical complex travelling wave solution to the nonlinear Schrodinger equation
Yokus, Asif
Tuz, Munevver
Gungoz, Ufuk
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021, 27 (02) : 195 - 206
[29] Discontinuous Galerkin method for numerical solution of the regularized long wave equation
Hozman, J.
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12), 2012, 1497 : 118 - 125
[30] Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, CA 90024-1555, United States
J. Comput. Phys., 1 (145-155):

← 1 2 3 4 5 →