A reliable and fast method for the solution of Fredhol integral equations of the first kind based on Tikhonov regularization

Published: 01-01-1992| Version 1 | DOI: 10.17632/ckpz6brdj6.1
Jürgen Weese


Abstract In many physical and chemical applications one is faced with the problem of calculating the solution of a Fredholm integral equation of the first kind from noisy experimental data. For such problems a solution method based on Tikhonov regularization together with the computer program FTIKREG is presented. In contrast to other solution methods which are based on Tikhonov regularization especially the determination of the regularization parameter has been improved. This improvement leads to muc... Title of program: FTIKREG Catalogue Id: ACGH_v1_0 Nature of problem Experimental not accessible functions and distributions are often related to an experimental accessible quantity by a Fredholm integral equation of the first kind. Therefore the solution of the integral equation must be calculated from noisy experimental data, in order to determine such a function or distribution. Versions of this program held in the CPC repository in Mendeley Data ACGH_v1_0; FTIKREG; 10.1016/0010-4655(92)90132-I ACGH_v2_0; NLREG; 10.1016/0010-4655(93)90187-H ACGH_v3_0; GENEREG; 10.1016/S0010-4655(01)00217-X This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)