Electron. J. Diff. Equ.,
Vol. 2014 (2014), No. 21, pp. 1-14.
Identification of the density dependent coefficient in an
inverse reaction-diffusion problem from a single boundary data
Ramazan Tinaztepe, Salih Tatar, Suleyman Ulusoy
Abstract:
This study is devoted to the numerical solution of an inverse
coefficient problem for a density dependent nonlinear reaction-diffusion
equation. The method is based on approximating the unknown coefficient
by polynomials. An optimal idea for solving the inverse problem
is to minimize an error functional between the output data and the
additional data. For this purpose, we find a polynomial of degree
n that minimizes the error functional; i.e, n-th degree polynomial
approximation of the unknown coefficient for the desired n.
Submitted November 8, 2013. Published January 10, 2014.
Math Subject Classifications: 45K05, 35R30, 65M32.
Key Words: Fractional derivative; fractional Laplacian; weak solution;
inverse problem; Mittag-Leffler function; Cauchy problem.
Show me the PDF file (234 KB),
TEX file, and other files for this article.
 |
Ramazan Tinaztepe
Department of Mathematics
Faculty of Education, Zirve University
Sahinbey, Gaziantep, 27270, Turkey
email: ramazan.tinaztepe@zirve.edu.tr
http://person.zirve.edu.tr/tinaztepe/
|
|---|
 |
Salih Tatar
Department of Mathematics
Faculty of Education, Zirve University
Sahinbey, Gaziantep, 27270, Turkey
email: salih.tatar@zirve.edu.tr
http://person.zirve.edu.tr/statar/
|
|---|
 |
Süleyman Ulusoy
Department of Mathematics
Faculty of Education, Zirve University
Sahinbey, Gaziantep, 27270, Turkey
email: suleyman.ulusoy@zirve.edu.tr
http://person.zirve.edu.tr/ulusoy/
|
|---|
Return to the EJDE web page