The Cauchy problem for Laplace equation and its numerical realization are considered. The method is based on the iterative process, in which the Cauchy problem is posed in the form of an inverse problem on finding a function on a part of the boundary.
Author(s):
Kabanikhin S IOffice: Sobolev institute of mathematics, SB RAS
Address: 630090, Russia, Novosibirsk
E-mail: kabanikh@math.nsc.ru
Bektemesov M AOffice: Kazakh National Pedagogical University after Abai
Address: Kazakhstan, Almatu, Novosibirsk
E-mail: hccs-adm@nursat.kz
Ayapbergenova A TOffice: Novosibirsk State University
Address: 630090, Russia, Novosibirsk
Nechaev Oleg ValentinovichOffice: Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Acad. Koptyug av. 3
E-mail: oleg.v.nechaev@gmail.com