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On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem

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  • Ozgur Yildirim
  • Meltem Uzun

Abstract

This paper presents a third order of accuracy stable difference scheme for the approximate solution of multipoint nonlocal boundary value problem of the hyperbolic type in a Hilbert space with self-adjoint positive definite operator. Stability estimates for solution of the difference scheme are obtained. Some results of numerical experiments that support theoretical statements are presented.

Suggested Citation

  • Ozgur Yildirim & Meltem Uzun, 2015. "On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-16, July.
    • Handle: RePEc:hin:jnddns:121437
    DOI: 10.1155/2015/121437
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    References listed on IDEAS

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    1. A. Ashyralyev & P. E. Sobolevskii, 2001. "A note on the difference schemes for hyperbolic equations," Abstract and Applied Analysis, Hindawi, vol. 6, pages 1-8, January.
    2. Necmettin Aggez & Maral Ashyralyyewa, 2012. "Numerical Solution of Stochastic Hyperbolic Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-20, August.
    3. Yildirim, Ozgur & Uzun, Meltem, 2015. "On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 210-218.
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