Pseudospectral Method for the Damped Boussinesq Equation
Commun. Korean Math. Soc. 1998 Vol. 13, No. 4, 889-901
S. M. Choo
Seoul National University
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.
Keywords : damped Boussinesq equation, pseudospectral method, stability, consistency, extended Lax-Richtmyer equivalence theorem
MSC numbers : 65N12, 65N35
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