Collocation for high order differential equations with two-points Hermite boundary conditions

For the numerical solution of high even order differential equations with two-points Hermite boundary conditions a general collocation method is derived and studied. Computation of the integrals which appear in the coefficients are generated by a recurrence formula and no integrals are involved in t...

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Bibliographic Details
Published in:Applied numerical mathematics 2015-01, Vol.87, p.157-167
Main Authors: Costabile, Francesco Aldo, Napoli, Anna
Format: Article
Language:English
Subjects:
Boundary value problem
Hermite interpolation
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Summary:For the numerical solution of high even order differential equations with two-points Hermite boundary conditions a general collocation method is derived and studied. Computation of the integrals which appear in the coefficients are generated by a recurrence formula and no integrals are involved in the calculation. An application to the solution of the beam problem is given. Numerical experiments provide favorable comparisons with other existing methods.
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2014.09.008