On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posedness
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Date
2012-10-15
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Elsevier Science
Abstract
The well-posedness of the Bitsadze-Samarskii type nonlocal boundary value problem in Hlder spaces with a weight is established. The coercivity inequalities for the solution of the nonlocal boundary value problem for elliptic equations are obtained. The stable second order of accuracy difference scheme for the approximate solution of the problem is presented. The well-posedness of this difference scheme in difference analogue of Hlder spaces is established. For applications, the almost coercivity and the coercivity estimates for solutions of difference schemes for elliptic equations are obtained.
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Keywords
Mathematics, Elliptic equations, Nonlocal boundary value problems, Difference schemes, Stability, Schemes, Spaces, Coercive force, Convergence of numerical methods, Difference equations, Approximate solution, Elliptic equations, Nonlocal boundary-value problems, Second orders, Wellposedness, Boundary value problems
Citation
Ashyralyev, A. ve Öztürk, E. (2012). "On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posedness". Applied Mathematics and Computation, 219(3), 1093-1107.