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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, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnljam:276585
    DOI: 10.1155/2014/276585
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    Cited by:

    1. Abu Arqub, Omar & Maayah, Banan, 2019. "Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 163-170.

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