Volume 15, Issue 2
Legendre rational spectral method for nonlinear Klein-Gordon equation

Z. Wang & B. Guo

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 15 (2006), pp. 143-149

Published online: 2006-05

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  • Abstract
A Legendre rational spectral method is proposed for the nonlinear Klein-Gordon equation on the whole line. Its stability and convergence are proved. Numerical results coincides well with the theoretical analysis and demonstrate the efficiency of this approach.
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@Article{NM-15-143, author = {Z. Wang and B. Guo}, title = {Legendre rational spectral method for nonlinear Klein-Gordon equation}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {2}, pages = {143--149}, abstract = { A Legendre rational spectral method is proposed for the nonlinear Klein-Gordon equation on the whole line. Its stability and convergence are proved. Numerical results coincides well with the theoretical analysis and demonstrate the efficiency of this approach. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8023.html} }
TY - JOUR T1 - Legendre rational spectral method for nonlinear Klein-Gordon equation AU - Z. Wang & B. Guo JO - Numerical Mathematics, a Journal of Chinese Universities VL - 2 SP - 143 EP - 149 PY - 2006 DA - 2006/05 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8023.html KW - AB - A Legendre rational spectral method is proposed for the nonlinear Klein-Gordon equation on the whole line. Its stability and convergence are proved. Numerical results coincides well with the theoretical analysis and demonstrate the efficiency of this approach.
Z. Wang and B. Guo. (2006). Legendre rational spectral method for nonlinear Klein-Gordon equation. Numerical Mathematics, a Journal of Chinese Universities. 15 (2). 143-149. doi:
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