Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1710166 | Applied Mathematics Letters | 2009 | 6 Pages |
Abstract
The second order of accuracy difference scheme for the approximate solutions of the nonlocal boundary-value problem −v″(t)+Av(t)=f(t)(0≤t≤1),v(0)=v(1),v′(0)=v′(1) for differential equations in an arbitrary Banach space EE with a strongly positive operator AA is considered. The well-posedness of this difference scheme in Cτβ,γ(E) spaces is established. In applications, a series of coercivity inequalities in difference analogues of various Hölder norms for the solutions of difference schemes of the second order of accuracy over one variable for the approximate solutions of the nonlocal boundary value problem for elliptic equations are obtained.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Allaberen Ashyralyev,