A fully Galerkin method for the damped generalized regularized long-wave (DGRLW) equation

A fully Galerkin method for the damped generalized regularized long-wave (DGRLW) equation

In this article, a fully discrete Galerkin scheme based on a nonlinear Crank–Nicolson method to approximate the solution of the DGRLW equation is constructed. Some a priori bounds are proved as well as error estimates. Then, a linearized modification scheme by an extrapolation method is discussed. T...

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Veröffentlicht in:Numerical methods for partial differential equations 2009-05, Vol.25 (3), p.668-684
Hauptverfasser: Achouri, Talha, Ayadi, Mekki, Omrani, Khaled
Format: Artikel
Sprache:eng
Schlagworte:
convergence
Crank-Nicolson method
DGRLW equation
existence
linearization
uniqueness
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Zusammenfassung:In this article, a fully discrete Galerkin scheme based on a nonlinear Crank–Nicolson method to approximate the solution of the DGRLW equation is constructed. Some a priori bounds are proved as well as error estimates. Then, a linearized modification scheme by an extrapolation method is discussed. The two schemes are time second order convergence. The last part is devoted to some numerical results. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009
ISSN:0749-159X
1098-2426
DOI:10.1002/num.20367