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A modification of pseudo-spectral method for solving a linear ODEs with singularity

Babolian, E.; Bromilow, M.; England, R. and Saravi, M. (2007). A modification of pseudo-spectral method for solving a linear ODEs with singularity. Applied Mathematics and Computation, 188(2) pp. 1260–1266.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/j.amc.2006.10.079
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Abstract

In this paper, first we introduce, briefly, pseudo-spectral method for numerical solution of ODE’s and focus on those problems in which some of coefficient functions or solution function are singular. Then, by expressing weak and strong aspects of spectral methods to solve these kind of problems, a modified pseudo-spectral method which is more efficient than other spectral methods is suggested. We compare the methods with some numerical examples.

Item Type: Journal Article
Copyright Holders: 2006 Elsevier Inc.
ISSN: 0096-3003
Keywords: spectral method; ODE; singularity; pseudo-spectral method
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 23394
Depositing User: Mick Bromilow
Date Deposited: 04 Oct 2010 15:27
Last Modified: 02 Dec 2010 21:06
URI: http://oro.open.ac.uk/id/eprint/23394
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