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Laguerre Tau Methods for Solving Higher-Order Ordinary Differential Equations
Authors:Hani I. Siyyam
Affiliation:(1) Department of Mathematical Science, Jordan University of Science and Technology, P.O. Box 3030, Irbid, Jordan
Abstract:In this paper, 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.
Keywords:higher order ordinary differential equations  Tau method  Laguerre polynomials
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