TY - JOUR
A2 - Sahu, D. R.
AU - Kabanikhin, Sergey Igorevich
AU - Shishlenin, M. A.
AU - Nurseitov, D. B.
AU - Nurseitova, A. T.
AU - Kasenov, S. E.
PY - 2014
DA - 2014/09/08
TI - Comparative Analysis of Methods for Regularizing an Initial Boundary Value Problem for the Helmholtz Equation
SP - 786326
VL - 2014
AB - We consider an ill-posed initial boundary value problem for the Helmholtz equation. This problem is reduced to the inverse continuation problem for the Helmholtz equation. We prove the well-posedness of the direct problem and obtain a stability estimate of its solution. We solve numerically the inverse problem using the Tikhonov regularization, Godunov approach, and the Landweber iteration. Comparative analysis of these methods is presented.
SN - 1110-757X
UR - https://doi.org/10.1155/2014/786326
DO - 10.1155/2014/786326
JF - Journal of Applied Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -