Affiliation:
1. School of Mathematics and Statistics Wuhan University Wuhan China
Abstract
This paper presents decoupled second‐order accurate algorithm based on Crank–Nicolson LeapFrog (CNLF) scheme for the evolution Boussinesq equations. The proposed algorithm deals with the spatial discretization by finite element method and treat the temporal discretization by CNLF method. For the nonlinear term in the Boussinesq equations, the semi‐implicit method is used. Unconditional stability and error estimate of the numerical algorithm are proven. Some numerical tests are presented to justify the theoretical analysis.
Funder
National Natural Science Foundation of China
Specialized Research Fund for the Doctoral Program of Higher Education of China
Subject
General Engineering,General Mathematics