Volume 16, Issue 4
High Order Pade Schemes for Nonlinear Wave Propagation Problems

P. L. Li and R. X. Liu

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 370-382

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  • Abstract

Split-step Pad\'{e} method and split-step fourier method are applied to the higher-order nonlinear Schr\"{o}dinger equation. It is proved that a combination of Pad\'{e} scheme and spectral method is the most effective method, which has a spectral-like resolution and good stability nature. In particular, we propose an unconditional stable implicit Pad\'{e} scheme to solve odd order nonlinear equations. Numerical results demonstrate the excellent performance of Pad\'{e} schemes for high order nonlinear equations.

  • History

Published online: 2007-11

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