Journal of Applied Mathematics

Collocation for High-Order Differential Equations with Lidstone Boundary Conditions

Francesco Costabile and Anna Napoli

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 120792, 20 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495235

Digital Object Identifier
doi:10.1155/2012/120792

Mathematical Reviews number (MathSciNet)
MR2956524

Zentralblatt MATH identifier
1251.65164

Citation

Costabile, Francesco; Napoli, Anna. Collocation for High-Order Differential Equations with Lidstone Boundary Conditions. J. Appl. Math. 2012 (2012), Article ID 120792, 20 pages. doi:10.1155/2012/120792. https://projecteuclid.org/euclid.jam/1355495235


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