Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1198.65120
Ashyralyev, Allaberen; Gercek, Okan
On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems. (English)
[J] Abstr. Appl. Anal. 2010, Article ID 705172, 17 p. (2010). ISSN 1085-3375; ISSN 1687-0409/e

Summary: A second order of accuracy difference scheme for the approximate solution of the abstract nonlocal boundary value problem $ - d^{2}u(t)/dt^{2}+Au(t)=g(t), (0\leq t\leq 1), du(t)/dt - Au(t)=f(t), ( - 1\leq t\leq 0), u(1)=u( - 1)+\mu $ for differential equations in a Hilbert space $H$ with a self-adjoint positive definite operator $A$ is considered. The well posedness of this difference scheme in Hölder spaces is established. In applications, coercivity inequalities for the solution of a difference scheme for elliptic-parabolic equations are obtained and a numerical example is presented.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34G10 Linear ODE in abstract spaces
35M13
65M06 Finite difference methods (IVP of PDE)

Keywords: difference scheme; abstract nonlocal boundary value problem; Hilbert space; self-adjoint positive definite operator; well posedness; Hölder spaces; elliptic-parabolic equations; numerical example

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]