A Novel Spectral Method for Burgers Equation on The Real Line

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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.

Keywords:

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

10.4208/eajam.201119.070220