Год выпуска: 2011 Автор: Elif Ozturk Издательство: LAP Lambert Academic Publishing Страниц: 112 ISBN: 9783847303589
Описание
Bitsadze-Samarskii nonlocal boundary value problem for elliptic differential equation in a Hilbert space H with the self-adjoint positive definite operators A is considered. The well-posedness of this problem in Holder spaces with a weight is established. The coercivity inequalities for the solutions of the nonlocal boundary value problem for elliptic equation are obtained. The second and fourth orders of accuracy difference schemes for the approximate solutions of this nonlocal boundary value problem are presented. The stability estimates, coercivity and almost coercivity inequalities for the solution of these difference schemes are established. The well-posedness of these difference schemes in Holder spaces with a weight is proved. The Matlab implementation of these difference schemes for elliptic equation is presented. The theoretical statements for the solution of these difference schemes are supported by the results of numerical examples.
