Publication: On the fourth order of accuracy difference scheme for the Bitsadze-Samarskii type nonlocal boundary value problem
Date
Authors
Öztürk, Elif
Authors
Ashyralyev, Allaberen
Simos, T.E.
Advisor
Language
Publisher:
American Institute of Physics
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Volume Title
Abstract
The Bitsadze-Samarskii type nonlocal boundary value problem
{ -d(2)u(t)/dt(2) + Au(t) = f(t), 0 < t < 1,
u(0) = phi, u(1) = Sigma(J)(j=1) alpha(j)u(lambda(j)) + psi, (1)
Sigma(J)(j=1)vertical bar alpha(j)vertical bar <= 1, 0 < lambda(1) < lambda(2) < ... < lambda(J) < 1
for the differential equation in a Hilbert space H with the self -adjoint positive definite operator A is considered. The fourth order of accuracy difference scheme for approximate solution of the problem is presented. The well posedness of this difference scheme in difference analogue of Holder spaces is established.
Description
Bu çalışma, 19-25 Eylül 2011 tarihlerinde Halkidiki[Yunanistan]'de düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)'de bildiri olarak sunulmuştur.
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Keywords:
Keywords
Mathematics, Elliptic equation, Nonlocal boundary value problem, Difference scheme, Stability
Citation
Ashyralyev, A. (2011). "On the fourth order of accuracy difference scheme for the Bitsadze-Samarskii type nonlocal boundary value problem". ed. T. E. Simos. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, Vols A-C, 1389, 577-580.