Numerical analysis of a Family of Second Order Time Stepping Methods for Boussinesq Equations

Date

2018-07-06

Author

Çıbık, Aytekin Bayram
Demir, Medine
Kaya Merdan, Songül

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—This report considers a family of second order time stepping schemes for Boussinesq system. The scheme uses the idea of curvature stabilization in which the discrete curvature of the solutions is added together with the linearized advective term at each time step. Unconditional stability and convergence of the method are established. Several numerical experiments are provided to demonstrate the accuracy and the efficiency of the method.

Subject Keywords

Boussinesq equations, Curvature stabilization, Linear extrapolation, Error analysis

URI

http://www.iaeng.org/publication/WCE2018/WCE2018_pp56-59.pdf
https://hdl.handle.net/11511/78323

Conference Name

Proceedings of the World Congress on Engineering 2018 Vol I WCE 2018, (July 4-6, 2018)

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Department of Mathematics, Conference / Seminar

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Citation Formats

A. B. Çıbık, M. Demir, and S. Kaya Merdan, “Numerical analysis of a Family of Second Order Time Stepping Methods for Boussinesq Equations,” London, U.K., 2018, vol. 1, Accessed: 00, 2021. [Online]. Available: http://www.iaeng.org/publication/WCE2018/WCE2018_pp56-59.pdf.