Solution of inverse diffusion problems by operator-splitting methods

Kirkup, Stephen Martin orcid iconORCID: 0000-0002-9680-7778 and Wadsworth, M. (2002) Solution of inverse diffusion problems by operator-splitting methods. Applied Mathematical Modelling, 26 (10). pp. 1003-1018. ISSN 0307904X

This is the latest version of this item.

[thumbnail of Publisher's post-print for classroom teaching and internal training purposes at UCLan] PDF (Publisher's post-print for classroom teaching and internal training purposes at UCLan) - Published Version
Restricted to Registered users only

221kB

Official URL: http://dx.doi.org/10.1016/S0307-904X(02)00053-7

Abstract

In this paper the inverse solution of the general (non-linear) diffusion problem or backward heat conduction problem. It is assumed that the direct solution can be satisfactorily modelled, for example by the finite difference method. The nature of the problem and typical approaches to its solution are briefly reviewed.

An operator-splitting method is introduced as a means of solving the inverse diffusion problem. An error analysis of the method is given, particularly for the application of the method to the simple diffusion equation. The method is applied to a range of test problems to illustrate the points of the analysis and to demonstrate the properties and performance of the method.


Available Versions of this Item

Repository Staff Only: item control page