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.

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Published

2022-11-07

Issue

Vol. 55 No. 4 (2022)

Section

Articles