A Note on the Inverse Problem for a Fractional Parabolic Equation. (10th September 2012)

• Record Type: Journal Article
• Authors: Erdogan, Abdullah Said; Uygun, Hulya
• Other Names: Ashurov Ravshan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-09-10
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/276080
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : For a fractional inverse problem with an unknown time-dependent source term, stability estimates are obtained by using operator theory approach. For the approximate solutions of the problem, the stable difference schemes which have first and second orders of accuracy are presented. The algorithm is tested in a one-dimensional fractional inverse problem.