A Novel Spectral Method for Burgers Equation on The Real Line
East Asian J. Appl. Math., 10 (2020), pp. 532-548.
Published online: 2020-06
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@Article{EAJAM-10-532,
author = {Jiao , Yujian},
title = {A Novel Spectral Method for Burgers Equation on The Real Line},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {3},
pages = {532--548},
abstract = {
A spectral method for the Burgers equation on the whole real line based on generalised Hermite functions is proposed. The generalised stability and convergence of the method are proved. Numerical results confirm the theoretical findings and demonstrate the efficiency of the algorithm.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.201119.070220}, url = {http://global-sci.org/intro/article_detail/eajam/16981.html} }
TY - JOUR
T1 - A Novel Spectral Method for Burgers Equation on The Real Line
AU - Jiao , Yujian
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 532
EP - 548
PY - 2020
DA - 2020/06
SN - 10
DO - http://doi.org/10.4208/eajam.201119.070220
UR - https://global-sci.org/intro/article_detail/eajam/16981.html
KW - Burger equation on the real line, spectral method, nonlinear problem, generalised
Hermite function.
AB -
A spectral method for the Burgers equation on the whole real line based on generalised Hermite functions is proposed. The generalised stability and convergence of the method are proved. Numerical results confirm the theoretical findings and demonstrate the efficiency of the algorithm.
Jiao , Yujian. (2020). A Novel Spectral Method for Burgers Equation on The Real Line.
East Asian Journal on Applied Mathematics. 10 (3).
532-548.
doi:10.4208/eajam.201119.070220
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