On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator | Zendy

Allaberen Ashyralyev | Zendy; Özgür Yıldırım | Zendy

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On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator

Author(s) -

Allaberen Ashyralyev,

Özgür Yıldırım

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/959216

Subject(s) - mathematics , boundary (topology) , operator (biology) , differential operator , mathematical analysis , stability (learning theory) , scalable vector graphics , combinatorics , computer science , biochemistry , chemistry , repressor , machine learning , transcription factor , gene , operating system

A third order of accuracy absolutely stable difference schemes is presented for nonlocal boundary value hyperbolic problem of the differential equations in a Hilbert space H with self-adjoint positive definite operator A. Stability estimates for solution of the difference scheme are established. In practice, one-dimensional hyperbolic equation with nonlocal boundary conditions is considered

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