caa a22 4500 606217339 CHVBK 20210128101107.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10598-015-9289-7 doi (NATIONALLICENCE)springer-10.1007/s10598-015-9289-7 Solov'eva S. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Numerical Solution of the Inverse Problem for the Diffusion Equation Under Spherical Symmetry [Elektronische Daten] [S. Solov'eva] We consider an initial-boundary-value problem for the diffusion equation with spherical symmetry and an unknown initial condition. Additional information to determine the unknown initial condition is provided by the external volume potential whose density is a Laplace operator evaluated on the solution of the initial-boundary-value problem. A numerical method is proposed for the corresponding inverse problem. Its efficiency is assessed by a computer experiment. Springer Science+Business Media New York, 2015 evolution differential equation nationallicence mathematical model of cardiac excitation processes nationallicence diffusion equation nationallicence spherical symmetry nationallicence inverse problem nationallicence numerical methods nationallicence Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/4(2015-10-01), 528-533 1046-283X 26:4<528 2015 26 10598 https://doi.org/10.1007/s10598-015-9289-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-015-9289-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Solov'eva S. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/4(2015-10-01), 528-533 1046-283X 26:4<528 2015 26 10598