Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line
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@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} }
TY - JOUR
T1 - Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line
AU - Tian , Liutao
AU - Jiao , Yujian
JO - Journal of Mathematical Study
VL - 4
SP - 415
EP - 431
PY - 2022
DA - 2022/11
SN - 55
DO - http://doi.org/10.4208/jms.v55n4.22.05
UR - https://global-sci.org/intro/article_detail/jms/21162.html
KW - Burgers equation, spectral method, modified Legendre rational functions, problem on the whole line.
AB -
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.
Tian , Liutao and Jiao , Yujian. (2022). Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line.
Journal of Mathematical Study. 55 (4).
415-431.
doi:10.4208/jms.v55n4.22.05
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