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A new generalized Laguerre function-generalized Hermite function mixed approximation and its application to nonlinear differential equation

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2 Author(s)
Zhang Xiaoyong ; Dept. of Math., Shanghai Maritime Univ., Shanghai, China ; Sui Jiang Hua

The generalized Laguerre-generalized Hermite mixed spectral method is developed. Various orthogonal projections are investigated. Some mixed approximation results are established. As an example of their important applications, a mixed spectral scheme is proposed for a two-dimensional nonlinear problem. Its convergence is proved. Numerical results demonstrate the high accuracy of this new spectral method.

Published in:

Information Science and Technology (ICIST), 2011 International Conference on

Date of Conference:

26-28 March 2011