TY - JOUR
AU - F. Kanca
AU - I. Baglan
PY - 2020/02/11
Y2 - 2020/04/07
TI - Solution of the boundary-value problem of heat conduction with periodic boundary conditions
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 2
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/2367
AB - UDC 517.9We investigate the solution of the inverse problem for a linear two-dimensional parabolic equation with periodic boundary and integral overdetermination conditions.Under certain natural regularity and consistency conditions imposed on the input data, we establish the existence, uniqueness of the solution and its continuous dependence on the data by using the generalized Fourier method. In addition, an iterative algorithm is constructed for the numerical solution of this problem.
ER -