The Laguerre spectral method for solving Neumann boundary value problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Wang Zhong-qing^1,2,3 

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Sci Comp Key Lab Shanghai Univ, Shanghai 200041, Peoples R China

[3] Shanghai Univ E Inst, Div Computat Sci, Shanghai 200041, Peoples R China

关键词: Laguerre spectral method;    Neumann boundary condition;    Second-order elliptic equations;   

DOI  :  10.1016/j.cam.2011.01.009

来源: Elsevier

【 摘 要 】

In this paper, we propose a Laguerre spectral method for solving Neumann boundary value problems. This approach differs from the classical spectral method in that the homogeneous boundary condition is satisfied exactly. Moreover, a tridiagonal matrix is employed. instead of the full stiffness matrix encountered in the classical variational formulation of such problems. For analyzing die numerical errors. some basic results on Laguerre approximations are established. The convergence is proved. The numerical results demonstrate the efficiency of this approach. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

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