Composite Legendre-Laguerre pseudospectral approximation in unbounded domains |
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| Authors: | Ma, He-ping Guo, Ben-yu |
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| Affiliation: | 1 Department of Mathematics, Shanghai University, Shanghai 200436, People's Republic of China, e-mail: hpma{at}guomai.sh.cn 2 School of Mathematical Sciences, Shanghai Normal University, Shanghai 200234, People's Republic of China, e-mail: byguo{at}guomai.sh.cn |
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| Abstract: | A composite LegendreLaguerre pseudospectral approximationin unbounded domains is developed. Some approximation resultsare obtained. As an application, a composite pseudospectralscheme is proposed for the Burgers equation on the half-line.The stability and convergence of the scheme are proved. By choosingappropriate base functions, the resulting system of this methodhas a sparse structure and can be solved in parallel. Numericalresults are given to show the efficiency of this new method. |
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| Keywords: | composite Legendre– Laguerre, pseudospectral method, half-line |
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