Analysis of Chebyshev Pseudospectral Method for Multi-Dimensional Generalized SRLW Equations

SHANG Ya-dong; GUO Bo-ling

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(10): 1035-1048

SHANG Ya-dong, GUO Bo-ling. Analysis of Chebyshev Pseudospectral Method for Multi-Dimensional Generalized SRLW Equations[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1035-1048.

Citation:

SHANG Ya-dong, GUO Bo-ling. Analysis of Chebyshev Pseudospectral Method for Multi-Dimensional Generalized SRLW Equations[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1035-1048.

Citation:

SHANG Ya-dong, GUO Bo-ling. Analysis of Chebyshev Pseudospectral Method for Multi-Dimensional Generalized SRLW Equations[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1035-1048.

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Analysis of Chebyshev Pseudospectral Method for Multi-Dimensional Generalized SRLW Equations

SHANG Ya-dong¹,
GUO Bo-ling²

1.
Department of Mathematics, Guangzhou University, Guangzhou 510405, P.R.China;
2.
Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Bejing 100088, P.R.China

Received Date: 2001-11-27
Rev Recd Date: 2003-05-16
Publish Date: 2003-10-15

Abstract

Abstract

The Chebyshev pseudo-spectral approximation of the homogenous initial boundary value problem for a class of multi-dimensional generalized symmetric of regularized long wave(SRLW)equations is considered.The fully discrete Chebyshev pseudospectral scheme is constructed.The convergence of the approximation solution and the optimum error of approximation solution are obtained.
- multi-dimensional generalized SRLW equation,
- initial and boundary value problem,
- Chebyshev pseudospectral method,
- error estimate

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References(15)

References

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