Title
Numerical Procedures For The Determination Of An Unknown Coefficient In Semilinear Parabolic Differential-Equations
Abbreviated Journal Title
Inverse Probl.
Keywords
INVERSE PROBLEM; PARAMETER; Mathematics, Applied; Physics, Mathematical
Abstract
We consider a finite difference approximation to an inverse problem of determining an unknown source parameter p(t) which is a coefficient of the solution u in a linear parabolic equation subject to the specification of the solution u at an internal point along with the usual initial boundary conditions. The backward Euler scheme is studied and its convergence is proved via an application of the discrete maximum principle for a transformed problem. Error estimates for u and p involve numerical differentiation of the approximation to the transformed problem. Some experimental numerical results using the newly proposed numerical procedure are discussed.
Journal Title
Inverse Problems
Volume
10
Issue/Number
2
Publication Date
1-1-1994
Document Type
Article
Language
English
First Page
227
Last Page
243
WOS Identifier
ISSN
0266-5611
Recommended Citation
"Numerical Procedures For The Determination Of An Unknown Coefficient In Semilinear Parabolic Differential-Equations" (1994). Faculty Bibliography 1990s. 999.
https://stars.library.ucf.edu/facultybib1990/999
Comments
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