Open AccessLinearized numerical schemes for the Boussinesq equation
Author(s) -
Bratsos A. G.,
Tsitouras Ch.,
Natsis D. G.
Publication year - 2005
Publication title -
applied numerical analysis & computational mathematics
Language(s) - English
Resource type - Journals
eISSN - 1611-8189
pISSN - 1611-8170
DOI - 10.1002/anac.200410021
Subject(s) - mathematics , mathematical economics , mathematical analysis , mathematical optimization
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)