Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line  

作　　者：Liutao Tian Yujian Jiao 

机构地区：[1]Department of Mathematics,Shanghai Normal University,Shanghai 200234,P.R.China

出　　处：《Journal of Mathematical Study》2022年第4期415-431,共17页数学研究（英文）

基　　金：supported in part by the National Natural Science Foundation of China(Grant Nos.12271365,11771299 and 12171141);Nature Science Fundation of Shanghai(Grant Nos.22ZR1445400 and 20JC1413800).

摘　　要：In this paper,we propose a spectral method for the Burgers equation using the modified Legendre rational functions,and prove its generalized stability and convergence.Numerical results demonstrate the efficiency of the new approach.

关 键 词：Burgers equation spectral method modified Legendre rational functions problem on the whole line 

分 类 号：O175[理学—数学]