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

Authors

  • Liutao Tian Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China.
  • Yujian Jiao Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China

DOI:

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

Keywords:

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

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.

Downloads

Published

2022-11-07

Abstract View

  • 290443

Pdf View

  • 2926

Issue

Vol. 55 No. 4 (2022)

Section

Articles

How to Cite

Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line. (2022). Journal of Mathematical Study, 55(4), 415-431. https://doi.org/10.4208/jms.v55n4.22.05