References
- Huang L, Sun X, Liu Y, et al. Parameter identification for two-dimensional orthotropic material bodies by the boundary element method. Eng. Anal. Boundary Elements. 2004;28:109–121.
- Barans’ka IE. The inverse problem in a domain with free bound for an anisotropic equation of parabolic type. Naykovy Visnyk Chernivetskogo Universytetu Matematyka. 2008;374:13–28.
- Cannon JR, Jones Jr BF. Determination of the diffusivity of an anisotropic medium. Int. J. Eng. Sci. 1963;1:457–460.
- Uhlmann G. Developments in inverse problems since Calderón’s foundational paper. In: Harmonic analysis and partial differential equations. University of Chicago Press, Chicago, IL, USA; 1999. p. 295–345.
- Sawaf B, Ozisik MN, Jarny Y. An inverse analysis to estimate linearly temperature dependent thermal conductivity components and heat capacity of an orthotropic medium. Int. J. Heat Mass Transfer. 1995;38:3005–3010.
- Knowles I, Yan A. The recovery of an anisotropic conductivity in groundwater modelling. Appl. Anal. 2002;81:1347–1365.
- Hussein MS, Lesnic D, Ivanchov MI. Identification of a heterogeneous orthotropic conductivity in a rectangular domain. Int. J. Novel Ideas: Math. Forthcoming.
- Hussein MS, Lesnic D, Ivanchov MI, et al. Multiple time-dependent coefficient identification thermal problems with a free boundary. Appl. Num. Math. 2016;99:24–50.
- Ivanchov NI. Some inverse problems for the heat equation with nonlocal boundary condition. Ukr. Math. J. 1993;45:1066–1071.
- Bereznytska IB. Inverse problem for a parabolic equation with non-local overdetermination condition. Math. Methods Phys.-Mech. Fields. 2001;44:54–62.
- Ivanchov MI. On an inverse problem of heat conduction with nonlocal overdetermination condition. Visnyk L’vivskogo Universytetu, Ser. Mech.-Mat. 1994;40:12–15.
- Kinash N. Inverse problem for the parabolic equation with nonlocal overdetermination condition. Bukovynsky Math. J. 2015;3:64–73.
- Ivanchov MI. Inverse problems for equations of parabolic type. Liviv: VNTL Publishers; 2003.
- Morton KW, Mayers DF. Numerical solution of partial differential equations: an introduction. Cambridge: Cambridge University Press; 2005.
- Mathworks R2012 Documentation Optimization Toolbox-Least Squares (Model Fitting)Algorithms. Available from: http://www.mathworks.com/help/toolbox/optim/ug/brnoybu.html.