A qualocation method for Burgers’ equation

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摘要

In this paper, a qualocation method for the one-dimensional Burgers’ equation is proposed. A semidiscrete scheme along with optimal error estimates is discussed. Results of a numerical experiment performed support the theoretical results.

论文关键词：65M70,65M15,Qualocation method,Burgers’ equation,Optimal error estimates,Gauss quadrature rule,Order of convergence

论文评审过程：Received 29 August 2005, Revised 8 December 2006, Available online 7 February 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2006.12.028