The Difference Problem of Obtaining the Parameter of a Parabolic Equation
Joint Authors
Ashyralyyev, Charyyar
Demirdag, Oznur
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-01
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The boundary value problem of determining the parameter p of a parabolic equation υ′(t)+Aυ(t)=f(t)+p (0≤t≤1), υ(0)=φ, υ(1)=ψ in an arbitrary Banach space E with the strongly positive operator A is considered.
The first order of accuracy stable difference scheme for the approximate solution of this problem is investigated.
The well-posedness of this difference scheme is established.
Applying the abstract result, the stability and almost coercive stability estimates for the solution of difference schemes for the approximate solution of differential equations with parameter are obtained.
American Psychological Association (APA)
Ashyralyyev, Charyyar& Demirdag, Oznur. 2012. The Difference Problem of Obtaining the Parameter of a Parabolic Equation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-484243
Modern Language Association (MLA)
Ashyralyyev, Charyyar& Demirdag, Oznur. The Difference Problem of Obtaining the Parameter of a Parabolic Equation. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-484243
American Medical Association (AMA)
Ashyralyyev, Charyyar& Demirdag, Oznur. The Difference Problem of Obtaining the Parameter of a Parabolic Equation. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-484243
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484243