Domain Decomposition Spectral Method for Mixed Inhomogeneous Boundary Value Problems of High Order Differential Equations on Unbounded Domains

In this paper, we develop domain decomposition spectral method for mixed inhomogeneous boundary value problems of high order differential equations defined on unbounded domains. We introduce an orthogonal family of new generalized Laguerre functions, with the weight function x α , α being any real n...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 53; no. 2; pp. 451 - 480
Main Authors:	Zhang, Chao, Guo, Ben-yu
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.11.2012 Springer Nature B.V
Subjects:	Accuracy Algorithms Approximation Boundary conditions Boundary value problems Collocation methods Computational Mathematics and Numerical Analysis Decomposition Differential equations Domain decomposition methods Interpolation Laguerre functions Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Numbers Real numbers Spectral methods Theoretical Weighting functions Laguerre-Gauss-Radau type interpolation Laguerre quasi-orthogonal approximation Domain decomposition spectral methods High order problems with mixed inhomogeneous boundary conditions
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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