Title :
Spectral Method Using Hermite Functions for Semilinear Wave Equations with Strong Damping
Author :
Huang, Yu ; Xu, Chenglong ; Wang, Yingwei
Author_Institution :
Dept. of Math., Tongji Univ., Shanghai, China
Abstract :
We consider spectral method using Hermite functions for semilinear wave equation with strong damping. A spectral scheme is constructed. We then prove the stability and the convergence of the scheme. Numerical results indicating the effectiveness of this method.
Keywords :
Hermitian matrices; nonlinear differential equations; numerical stability; wave equations; Hermite functions; nonlinear partial differential equation; scheme convergence; scheme stability; semilinear wave equations; spectral method; strong damping; Convergence; Damping; Educational institutions; Information science; Mathematics; Partial differential equations; Physics; Polynomials; Scientific computing; Stability;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.1084
