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New Numerical Method for Solving Tenth Order Boundary Value Problems

Author

Listed:
  • Ali Akgül

    (Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey)

  • Esra Karatas Akgül

    (Department of Mathematics, Faculty of Education, Siirt University, TR-56100 Siirt, Turkey)

  • Dumitru Baleanu

    (Department of Mathematics and Computer Sciences, Art and Science Faculty, Çankaya University, TR-06300 Ankara, Turkey
    Department of Mathematics, Institute of Space Sciences, 077125 Bucharest, Romania)

  • Mustafa Inc

    (Department of Mathematics, Science Faculty, Firat University, 23100 Elazig, Turkey)

Abstract

In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems. We obtain some useful reproducing kernel functions to get approximate solutions. We obtain very efficient results by this method. We show our numerical results by tables.

Suggested Citation

  • Ali Akgül & Esra Karatas Akgül & Dumitru Baleanu & Mustafa Inc, 2018. "New Numerical Method for Solving Tenth Order Boundary Value Problems," Mathematics, MDPI, vol. 6(11), pages 1-9, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:245-:d:181335
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    References listed on IDEAS

    as
    1. Sedigheh Farzaneh Javan & Saeid Abbasbandy & M. Ali Fariborzi Araghi, 2017. "Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-10, March.
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