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 - <p style="text-align: justify;">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.</p>