Linearized numerical schemes for the Boussinesq equation

Abstract

Two different linearized schemes are applied to a parametric finite-difference scheme concerning the numerical solution of the Boussinesq equation. At the first linearized scheme the nonlinear term of the equation is substituted by an appropriate value, while at the second scheme we use Taylor's expansion. Both schemes are analyzed for local truncation error, stability and convergence. The results of the experiments are examined for their accuracy for the single and the double-soliton waves to known from the bibliography numerical schemes. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)