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

Collocation for high order differential equations with Lidstone boundary conditions

NAPOLI, Anna;
2012

Abstract

A class of methods for the numerical solution of high-order differential equations with Lidstoneand complementary Lidstone boundary conditions are presented. It is a collocation method whichprovides globally continuous differentiable solutions. Computation of the integrals which appearin the coefficients is generated by a recurrence formula.Numerical experiments support theoreticalresults.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/140726
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