eprintid: 4988 rev_number: 20 eprint_status: archive userid: 351 dir: disk0/00/00/49/88 datestamp: 2016-01-15 02:08:06 lastmod: 2021-08-27 17:15:48 status_changed: 2016-01-15 02:08:06 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Samarskaya, E.A. creators_name: Tishkin, V. creators_id: 1425 title: On a Problem of Source Reconstruction for Parabolic Equation ispublished: pub internal_subjects: iis_met internal_subjects: iis_mod divisions: prog_dyn abstract: In the present paper the problem of reconstruction of the right-hand side of an advection-diffusion equation is considered. This type of equation is used in many models of contamination transport in domains such as air, groundwater and surface water. Using the method of conjugate equations, one can reduce the problem to an integral equation of the first kind. In the paper a discrete analog of this integral equation is constructed on the basis of discretization of the initial advection-diffusion equation and the usage of the conjugate equation technique. For solving the obtained discrete analog of the integral equation Tikhonov's method of regularization is applied. The parameter of regularization is chosen in accordance with the residual principle. Series of numerical calculations show efficiency of the method. date: 1996-04 date_type: published publisher: WP-96-038 iiasapubid: WP-96-038 price: 10 creators_browse_id: 2619 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 38 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Samarskaya, E.A. & Tishkin, V. (1996). On a Problem of Source Reconstruction for Parabolic Equation. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-038 document_url: https://pure.iiasa.ac.at/id/eprint/4988/1/WP-96-038.pdf