Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method

Fuzheng Gao, Feng Qiao and Hongxing Rui

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 109, issue C, 64-73

Abstract: A kind of modified regularized long wave (MRLW) equation, with some initial conditions, is solved numerically by a split least-squares mixed element method (SLSMEM), which can be split into two independent symmetric positive definite sub-schemes and solved separately. This method is useful for obtaining numerical solutions with high degree of accuracy. Numerical examples show that the SLSMEM satisfies conservation laws.

Keywords: MRLW equation; Least-squares; Mixed element; Conservation laws; Solitary waves (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:109:y:2015:i:c:p:64-73

DOI: 10.1016/j.matcom.2014.06.005

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