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Numerical Solution of High Order Bernoulli Boundary Value Problems

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  • F. Costabile
  • A. Napoli

Abstract

For the numerical solution of high order boundary value problems with special boundary conditions a general procedure to determine collocation methods is derived and studied. Computation of the integrals which appear in the coefficients is generated by a recurrence formula and no integrals are involved in the calculation. Several numerical examples are presented to demonstrate the practical usefulness of the proposed method.

Suggested Citation

  • F. Costabile & A. Napoli, 2014. "Numerical Solution of High Order Bernoulli Boundary Value Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:276585
    DOI: 10.1155/2014/276585
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    References listed on IDEAS

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    1. Francesco Costabile & Anna Napoli, 2012. "Collocation for High-Order Differential Equations with Lidstone Boundary Conditions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-20, August.
    2. Francesco Costabile & Anna Napoli, 2012. "Collocation for High‐Order Differential Equations with Lidstone Boundary Conditions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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