A new approach on numerical solutions of the Improved Boussinesq type equation using quadratic B-spline Galerkin finite element method

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摘要

In the present manuscript, some numerical solutions of an Improved Boussinesq type equation are obtained by means of quadratic B-spline Galerkin finite element method. Then, error norms L2 and L∞ have been calculated to test the accuracy of the current method. In the manuscript, solitary wave movement and interaction of solitary–antisolitary waves are considered as test problems.

论文关键词:Improved Boussinesq type equation,Galerkin finite element method,Quadratic B-spline,Solitary waves,Interaction

论文评审过程:Received 24 May 2015, Revised 27 July 2015, Accepted 1 August 2015, Available online 25 August 2015, Version of Record 25 August 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.08.007