| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6422455 | Journal of Computational and Applied Mathematics | 2015 | 8 Pages |
Abstract
A semilinear parabolic problem of second order with an unknown solely time-dependent source term is studied. The missing source is recovered from an additional integral measurement over the boundary. The global in time existence, uniqueness as well as the regularity of a solution are addressed. A new numerical scheme based on Rothe's method is designed and convergence of iterates towards the exact solution is shown.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M. SlodiÄka,