Operator Splitting of the KdV-Burgers Type Equation with Fast and Slow Dynamics

Date

2010-11-27

Author

Karasözen, Bülent

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The Korteweg de Vries-Burgers (KdV-Burgers) type equation arising from the discretization of the viscous Burgers equation with fast dispersion and slow diffusion is solved using operator splitting. The dispersive and diffusive parts are discretized in space by second order conservative finite differences. The resulting system of ordinary differential equations are composed using the time reversible Strang splitting. The numerical results reveal that the periodicity of the solutions and the invariants of the KdV-Burgers equation are well preserved.

Subject Keywords

Splitting methods, Finite differences, Fast-slow systems

URI

https://hdl.handle.net/11511/53691

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Graduate School of Applied Mathematics, Conference / Seminar

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Citation Formats

B. Karasözen, “Operator Splitting of the KdV-Burgers Type Equation with Fast and Slow Dynamics,” 2010, vol. 1309, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53691.