Collocation for High-Order Differential Equations with Lidstone Boundary Conditions

Francesco Costabile and Anna Napoli

Journal of Applied Mathematics, 2012, vol. 2012, 1-20

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:120792

DOI: 10.1155/2012/120792

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