A new conservative finite difference scheme for Boussinesq paradigm equation

• Autorzy: Natalia Kolkovska , Milena Dimova
• Języki publikacji: EN

Abstrakty

EN

A family of nonlinear conservative finite difference schemes for the multidimensional Boussinesq Paradigm Equation is considered. A second order of convergence and a preservation of the discrete energy for this approach are proved. Existence and boundedness of the discrete solution on an appropriate time interval are established. The schemes have been numerically tested on the models of the propagation of a soliton and the interaction of two solitons. The numerical experiments demonstrate that the proposed family of schemes is about two times more accurate than the family of schemes studied in [Kolkovska N., Two families of finite difference schemes for multidimensional Boussinesq paradigm equation, In: Application of Mathematics in Technical and Natural Sciences, Sozopol, June 21–26, 2010, AIP Conf. Proc., 1301, American Institute of Physics, Melville, 2010, 395–403].

Słowa kluczowe

EN

Conservative finite difference scheme; Boussinesq Paradigm Equation; Solitary waves

Kategorie tematyczne

• 76B25: Solitary waves
• 65M06: Finite difference methods
• 65M15: Error bounds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 1159-1171

Daty

wydano

2012-06-01

online

2012-03-24

Twórcy

autor

Natalia Kolkovska

• Bulgarian Academy of Sciences

autor

Milena Dimova

• Bulgarian Academy of Sciences

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0011-0