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Zbl 1024.65049
Siyyam, Hani I.
Laguerre tau methods for solving higher-order ordinary differential equations. (English)
[J] J. Comput. Anal. Appl. 3, No.2, 173-182 (2001). ISSN 1521-1398; ISSN 1572-9206/e

Summary: We present two numerical methods for solving higher-order differential equations using the Laguerre tau method. These methods generate linear systems, which can be solved by Gauss elimination with maximal partial pivoting strategy. Results of some numerical experiments and theoretical analysis are presented.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
65F05 Direct methods for linear systems
65L60 Finite numerical methods for ODE
34A30 Linear ODE and systems

Keywords: higher-order ordinary differential equations; tau method; Laguerre polynomials; linear systems; Gauss elimination; maximal partial pivoting; numerical experiments

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Zentralblatt MATH Berlin [Germany]