Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line

Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line

Year:    2022

Author:    Liutao Tian, Yujian Jiao

Journal of Mathematical Study, Vol. 55 (2022), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v55n4.22.05

Journal of Mathematical Study, Vol. 55 (2022), Iss. 4 : pp. 415–431

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Burgers equation spectral method modified Legendre rational functions problem on the whole line.

Author Details

Liutao Tian

Yujian Jiao