PSEUDOSPECTRAL METHOD FOR THE DAMPED BOUSSINESQ EQUATION

  • Choo, S.M. (Department of Mathematics Education Seoul Ntional University)
  • Published : 1998.10.01

Abstract

Numerical approximations by pseudospectral method are obtained for the damped Boussinesq equation which is a modification of the good Boussinesq equation. The consistency and stability of the method are obtained using the extended Lax-Richtmyer equivalence theorem, which imply the convergence of the method. We obtain error estimates of O(h$^{s}$ + k$^2$) for a fully discrete pseudospectral method.