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2009•Jilin Normal University JournalRequires access

A Composite Legendre-Laguerre Spectral Method for the Fourth-order Equations

YE Xiao-hua

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Abstract

A composite Legendre-Laguerre spectral method is proposed to solve the fourthorder equations in semi-infinite domain.Convergence of the proposed method is proved strictly.Numerical results show the spectral accuracy of the method.Finally,the advantage of this method is demonstrated by a numerical comparison with the pure Laguerre method.

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What this paper is about

A composite Legendre-Laguerre spectral method is proposed to solve the fourthorder equations in semi-infinite domain.Convergence of the proposed method is proved strictly.Numerical results show the spectral accuracy of the method.Finally,the advantage of this method is demonstrated by a numerical comparison with the pure Laguerre method.

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Available abstract

A composite Legendre-Laguerre spectral method is proposed to solve the fourthorder equations in semi-infinite domain.Convergence of the proposed method is proved strictly.Numerical results show the spectral accuracy of the method.Finally,the advantage of this method is demonstrated by a numerical comparison with the pure Laguerre method.

Key concepts: Laguerre polynomials, Legendre polynomials, Laguerre's method, Spectral method, Mathematics, Convergence (economics), Mathematical analysis, Applied mathematics

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