On the determination of the right-hand side in a parabolic equation

• Published in: Applied numerical mathematics Vol. 62; no. 11; pp. 1672 - 1683
• Main Authors: Ashyralyev, A., Erdogan, A.S., Demirdag, O.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2012
• Subjects: Algorithms; Approximation; Boundary value problems; Estimates; Initial value problems; Inverse problem; Mathematical analysis; Mathematical models; Parabolic equation; Stability; Parabolic equation; Stability; Inverse problem

An overdetermined initial–boundary value problem for a parabolic equation is considered. Stable difference schemes of first and second orders of accuracy are presented for the approximate solution of this problem. Stability estimates for the solution of these difference schemes are obtained. Numeric...