同济大学学报（自然科学版）2012，Vol.40Issue(4)：635-639,644,6.DOI:10.3969/j.issn.0253-374x.2012.04.023
无界域上一类半线性波动方程的全离散谱格式
A Fully Discrete Spectral Method for Semilinear Wave Equation in Unbounded Domain
摘要
Abstract
Numerical solution for a semilinear wave equation with strong damping in unbounded domain is investigated. The fully discrete spectral scheme is constructed on the basis of the Hermite spectral method in space and a second order finite difference scheme in time. The stability and the convergence of the scheme are proved. Numerical results prove the accuracy and effectiveness of this method.关键词
Hermite函数/谱方法/半线性波动方程/强阻尼Key words
Hermite functions/ spectral method/semilinear wave equation/strong-damped分类
数理科学引用本文复制引用
黄瑜,徐承龙..无界域上一类半线性波动方程的全离散谱格式[J].同济大学学报（自然科学版）,2012,40(4):635-639,644,6.基金项目
国家自然科学基金(11171256) （11171256）
上海市教委E-研究院项目(E03004) （E03004）
