A Novel Integration Scheme for Partial Differential Equations: an Application to the Complex Ginzburg-Landau Equation

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A new integration scheme, combining the stability and the precision of usual pseudo-spectral codes with the locality of finite differences methods, is introduced. It turns out to be particularly suitable for the study of front and disturbance propagation in extended systems. An application to the complex Ginzburg-Landau equation shows the higher precision of this method with respect to spectral ones.
10 pages Postscript + 2 figures, uudecoded, gzipped, tarred submitted to Physica D

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/153810

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9511003
 http://arxiv.org/abs/solv-int/9511003

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arXiv