V. M. Ryabov, I. G. Burova, "About the Tikhonov Regularization Method for the Solution of Incorrect Problems," WSEAS Transactions on Systems, vol. 22, pp. 656-662, 2023, DOI:10.37394/23202.2023.22.66
V. M. Ryabov, I. G. Burova. About the Tikhonov Regularization Method for the Solution of Incorrect Problems.
WSEAS Transactions on Systems. 2023;22:656-662. 10.37394/23202.2023.22.66
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 22, 2023
About the Tikhonov Regularization Method for the Solution of Incorrect Problems
Authors: ,
Abstract: From time to time, papers are published containing gross errors when solving integral equations of the first kind. This paper is devoted to the analysis of these errors. The paper considers Tikhonov’s weak and operator regularization. To construct a solution to the integral equation, the local splines of the Lagrangian type of the second order of approximation, as well as the local splines of the Hermitian type of the fourth order of approximation of the first level, are used. The results of numerical experiments are presented.
Pages: 656-662 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 22, 2023, Art. #66 DOI: 10.37394/23202.2023.22.66
×
Citation Tools