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Journal of Applied Mathematics
Volume 2012, Article ID 120792, 20 pages
Research Article

Collocation for High-Order Differential Equations with Lidstone Boundary Conditions

Department of Mathematics, University of Calabria, 87036 Rende, Italy

Received 8 March 2012; Accepted 14 May 2012

Academic Editor: Roberto Barrio

Copyright © 2012 Francesco Costabile and Anna Napoli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A class of methods for the numerical solution of high-order differential equations with Lidstone and complementary Lidstone boundary conditions are presented. It is a collocation method which provides globally continuous differentiable solutions. Computation of the integrals which appear in the coefficients is generated by a recurrence formula. Numerical experiments support theoretical results.