A Novel Spectral Method for Burgers Equation on The Real Line

A Novel Spectral Method for Burgers Equation on The Real Line

Year:    2020

Author:    Yujian Jiao

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.201119.070220

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 532–548

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Burger equation on the real line spectral method nonlinear problem generalised Hermite function.

Author Details

Yujian Jiao

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