Year: 2004
Author: Zhongqing Wang, Benyu Guo
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 3 : pp. 457–474
Abstract
A mutually orthogonal system of rational functions on the whole line is introduced. Some approximation results are established. As an example of applications, a modified Legendre rational spectral scheme is given for the Dirac equation. Its numerical solution keeps the same conservation as the genuine solution. This feature not only leads to reasonable numerical simulation of nonlinear waves, but also simplifies the analysis. The convergence of the proposed scheme is proved. Numerical results demonstrate the efficiency of this new approach and coincide with the analysis well.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10319
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 3 : pp. 457–474
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Modified Legendre rational approximation The whole line Dirac equation.