A Fully Discrete Spectral Method for Semilinear Wave Equation in Unbounded Domain

doi:10.3969/j.issn.0253-374x.2012.04.023

Home > Archive>Volume 40, Issue 4, 2012 >0635-0639. DOI:10.3969/j.issn.0253-374x.2012.04.023

A Fully Discrete Spectral Method for Semilinear Wave Equation in Unbounded Domain
DOI:
                        10.3969/j.issn.0253-374x.2012.04.023
                    
CSTR:
                        [cstr]
                    
Author:
                        HUANG YuHUANG Yu
Department of Mathematics, Tongji University, 200092 Shanghai, China;College of Math and Physics, Nanjing University of Information Science and Technology, 210044 Nanjing, China
Find this author on All Journals
Find this author on BaiDu
Search for this author on this site
XU ChenglongXU Chenglong
Department of Mathematics, Tongji University, 200092 Shanghai, China;Shanghai E Institute of Scientific Computing and Shanghai Key Laboratory of Scientific Computing, Shanghai 200234, China
Find this author on All Journals
Find this author on BaiDu
Search for this author on this site

                    
Affiliation:
Clc Number:O241.82
Fund Project:

Article

Figures

Metrics

Reference

Cited by

Materials

Comments

Abstract:

考察一类带有强阻尼项的半线性波动方程在无界区域上的数值解问题.建立了全离散的谱格式，空间方向上采用Hermite谱方法，时间方向采用二阶差分格式，给出了格式的收敛性和稳定性分析.通过数值算例验证了方法的高精度性和有效性.

Key words:Hermite functions; spectral method; semilinear wave equation; strong damped

Get Citation

HUANG Yu, XU Chenglong. A Fully Discrete Spectral Method for Semilinear Wave Equation in Unbounded Domain[J].同济大学学报(自然科学版),2012,40(4):0635~0639

Copy

Article Metrics

Abstract:
PDF:
HTML:
Cited by:

History

Received:January 17,2011
Revised:January 11,2012
Adopted:July 04,2011
Online: April 27,2012
Published:

Get Citation

Related Videos

Share

Article Metrics

History

Article QR Code