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On Second Order of Accuracy Difference Scheme of the Approximate Solution of Nonlocal Elliptic-Parabolic Problems

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  • Allaberen Ashyralyev
  • Okan Gercek

Abstract

A second order of accuracy difference scheme for the approximate solution of the abstract nonlocal boundary value problem , , , , for differential equations in a Hilbert space with a self-adjoint positive definite operator is considered. The well posedness of this difference scheme in Hölder spaces is established. In applications, coercivity inequalities for the solution of a difference scheme for elliptic-parabolic equations are obtained and a numerical example is presented.

Suggested Citation

  • Allaberen Ashyralyev & Okan Gercek, 2010. "On Second Order of Accuracy Difference Scheme of the Approximate Solution of Nonlocal Elliptic-Parabolic Problems," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-17, July.
    • Handle: RePEc:hin:jnlaaa:705172
    DOI: 10.1155/2010/705172
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