@Article{JMS-55-415, author = {Tian , Liutao and Jiao , Yujian}, title = {Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line}, journal = {Journal of Mathematical Study}, year = {2022}, volume = {55}, number = {4}, pages = {415--431}, abstract = {

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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v55n4.22.05}, url = {http://global-sci.org/intro/article_detail/jms/21162.html} }