Rate of convergence bound in the W 2 1 norm of the projection-difference scheme for the first boundary-value problem of elasticity theory in the anisotropic case

1994 ◽  
Vol 69 (6) ◽  
pp. 1389-1394
Author(s):  
S. A. Voitsekhovskii ◽  
V. M. Kalinin
Keyword(s):  
Boundary Value Problem ◽  
Difference Scheme ◽  
Rate Of Convergence ◽  
Elasticity Theory ◽  
Boundary Value ◽  
Convergence Bound ◽  
Anisotropic Case

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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