On the numerical treatment and analysis of Benjamin–Bona–Mahony–Burgers equation

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摘要

In this paper, the solution of Benjamin–Bona–Mahony–Burgers (BBMB) equation is approximated by using collocation method. Stability of the method is discussed. Also the convergence of the method is proved. The method is used on some examples, and the numerical results have been obtained and compared with the exact solutions.

论文关键词：Benjamin–Bona–Mahony–Burgers,B-spline,Collocation,Stability,Convergence

论文评审过程：Received 27 October 2015, Revised 8 February 2016, Accepted 19 February 2016, Available online 22 March 2016, Version of Record 22 March 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.02.037