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Laguerre tau methods for solving higher-order ordinary differential equations. (English) Zbl 1024.65049
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:
65L05Initial value problems for ODE (numerical methods)
65F05Direct methods for linear systems and matrix inversion (numerical linear algebra)
65L60Finite elements, Rayleigh-Ritz, Galerkin and collocation methods for ODE
34A30Linear ODE and systems, general