Chebyshev-Legendre Pseudo-Spectral Method for the Modified Kawahara Equation

Abstract:

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Chebyshev-Legendre pseudo-spectral method was applied to resolve the modified Kawahara equation. The proposed approach is based on Legendre-Petrov Galerkin formulation but only the Chebyshev-Gauss-Lobatto nodes are used in the computation. The Petrov method is considered for the unsymmetry of the fifth-order derivative term appeared in the modified Kawahara equation and Chebyshev-Legendre method is used for reducing the computational complexity. Numerical tests are presented to verify the efficiency of the proposed approach.

Info:

Periodical:

Advanced Materials Research (Volumes 143-144)

Edited by:

H. Wang, B.J. Zhang, X.Z. Liu, D.Z. Luo, S.B. Zhong

Pages:

191-195

DOI:

10.4028/www.scientific.net/AMR.143-144.191

Citation:

T. G. Zhao et al., "Chebyshev-Legendre Pseudo-Spectral Method for the Modified Kawahara Equation", Advanced Materials Research, Vols. 143-144, pp. 191-195, 2011

Online since:

October 2010

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Price:

$35.00

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