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

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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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DOI

10.4208/jms.v55n4.22.05

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