Solution of inverse diffusion problems by operator-splitting methods

Applied Mathematical Modelling

Volumn 26, Issue 10, 2002, Pages 1003-1018

  Kirkup, S M ^a   Wadsworth, M ^b  

^a School of Science and Technology   (United Kingdom)

^b UNIVERSITY OF SALFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FINITE DIFFERENCE METHOD; HEAT CONDUCTION; MATHEMATICAL MODELS; PROBLEM SOLVING;

INVERSE DIFFUSION PROBLEMS; OPERATOR-SPLITTING METHODS;

DIFFUSION;

DIFFUSION; HEAT CONDUCTION;

EID: 0344514171     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(02)00053-7     Document Type: Article

References (14)

1. Beck J.V. Inverse Heat Conduction 1985 John Wiley and Sons New York
2. Engl H.W. Hanke M. Neubauer A. Regularization and Inverse Problems 1996 Kluwer Academic Publishers Dordrecht
3. Golub G.H. Van Loan C.F. Matrix Computations 1989 The John Hopkins University Press Baltimore, MD
4. Hadamard J. Lectures on Cauchy's Problem in Linear Partial Differential Equations 1923 Yale University Press New Haven, CT
5. Kress R. Linear Integral Equations 1989 Springer-Verlag Berlin
6. S.M. Kirkup, M. Wadsworth, D.G. Armour, Inverse solution of atomic mixing equations, Report MCS-96-14, Department of Computing and Mathematical Sciences, University of Salford, 1996
7. Kirkup S.M. Wadsworth M. Armour D.G. Badheka R. Van Den Berg J.A. Computational solution of the atomic mixing equations International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 11 1998 189-205
8. Kirkup S.M. Wadsworth M. Computational solution of the atomic mixing equations: special methods and algorithm of impetus II International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 11 1998 207-219
9. Miller G.F. Fredholm equations of the first kind Delves L.M. Walsh J. Numerical Solution of Integral Equations 1974 Clarendon Press Oxford
10. Mitchell A.R. Griffiths D.F. The Finite Difference Method in Partial Differential Equations 1980 John Wiley and Sons New York
11. W.H. Press, S.A. Teukolsky, W.T. Vettering, B.P. Flannery, Numerical Recipes in Fortran: The Art of Scientific Computing, second ed., 1992
12. Richtmyer R.D. Morton K.W. Difference Methods for Initial Value Problems 1967 John Wiley and Sons New York
13. Stetter H.J. The defect correction principle and discretization methods Numerische Mathematik 29 1978 425-443
14. Wadsworth M. Armour D.G. Badheka R. Collins R. A model for atomic mixing International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 3 1990 157-169