References
- J. V. Beck, B. Blackwell, and S. R. Clair, Inverse Heat Conduction: Ill-posed problems, John Wiley and Sons, Inc., 1985
- A. Carasso, Determining surface temperatures from interior observations, SIAM J. Appl. Math. 42 (1982), no. 3, 558-574 https://doi.org/10.1137/0142040
- L. Elden, Numerical solution of the sideways heat equation by difference approximation in time, Inverse Problems 11 (1995), no. 4, 913-923 https://doi.org/10.1088/0266-5611/11/4/017
- L. Elden, Solving the sideways heat equation by a `method of lines', J. Heat Trans. ASME 119 (1997), 406-412 https://doi.org/10.1115/1.2824112
- C. L. Fu and C. Y. Qiu, Wavelet and error estimation of surface heat flux, J. Comput. Appl. Math. 150 (2003), no. 1, 143-155 https://doi.org/10.1016/S0377-0427(02)00657-X
- D. N. Hµao, H.-J. Reinhardt, and A. Schneider, Numerical solution to a sideways para- bolic equation, Internat. J. Numer. Methods Engrg. 50 (2001), no. 5, 1253-1267 https://doi.org/10.1002/1097-0207(20010220)50:5<1253::AID-NME81>3.0.CO;2-6
- Z. Qian, C. L. Fu, and X. T. Xiong, Semidiscrete central difference method in time for determining surface temperatures, Int. J. Math. Math. Sci. (2005), no. 3, 393-400 https://doi.org/10.1155/IJMMS.2005.393
- X. T. Xiong, C. L. Fu, and H. F. Li, Central difference method of a non-standard inverse heat conduction problem for determining surface heat °ux from interior observations, Appl. Math. Comput. 173 (2006), no. 2, 1265-1287 https://doi.org/10.1016/j.amc.2005.04.070
- X. T. Xiong, C. L. Fu, and H. F. Li, Central difference schemes in time and error estimate on a non-standard in- verse heat conduction problem, Appl. Math. Comput. 157 (2004), no. 1, 77-91 https://doi.org/10.1016/j.amc.2003.08.028
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