Laguerre tau methods for solving higher-order ordinary differential equations. (English) Zbl 1024.65049

Siyyam, Hani I.

J. Comput. Anal. Appl. 3, No. 2, 173-182 (2001).

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:

65L05	Numerical methods for initial value problems involving ordinary differential equations
65F05	Direct numerical methods for linear systems and matrix inversion
65L60	Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34A30	Linear ordinary differential equations and systems

Keywords:

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