Volume 55, Issue 4
Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line

Liutao Tian & Yujian Jiao

J. Math. Study, 55 (2022), pp. 415-431.

Published online: 2022-11

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  • 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.

  • AMS Subject Headings

41A30, 76M22, 65M70, 33C45, 65M12

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

tianliutao2013@163.com (Liutao Tian)

yj-jiao@shnu.edu.cn (Yujian Jiao)

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  • TXT
@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.

Liutao Tian & Yujian Jiao. (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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