A third order of accuracy difference scheme for Dirichlet type overdermined problem with mixed boundary value conditions

2016 ◽  
Author(s):  
Charyyar Ashyralyyev ◽  
Mutlu Dedeturk
Keyword(s):  
Difference Scheme ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Third Order ◽  
Order Of Accuracy ◽  
Dirichlet Type ◽  
Accuracy Difference

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

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
Ozgur Yildirim ◽  
Meltem Uzun
Keyword(s):  
Boundary Value Problem ◽  
Difference Scheme ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Stability Estimates ◽  
Nonlocal Boundary Value Problem ◽  
Third Order ◽  
Order Of Accuracy ◽  
Definite Operator ◽  
The Difference

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.

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