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Original Articles

Solving inverse heat conduction problem with discrete wavelet transform

Pages 329-339 | Received 21 Jul 2004, Accepted 21 Jan 2005, Published online: 26 Jan 2007

Figures & data

Figure 1. Two Daubechies wavelets, located at different times and with different frequencies.

Figure 1. Two Daubechies wavelets, located at different times and with different frequencies.

Figure 2. (a) Surface temperature Ts and (b) temperature measured (with noise) inside the slab Tm for case 1.

Figure 2. (a) Surface temperature Ts and (b) temperature measured (with noise) inside the slab Tm for case 1.

Figure 3. Plot of components of the DWT of Tm.

Figure 3. Plot of components of the DWT of Tm.

Figure 4. Inversion by DWT, case 1.

Figure 4. Inversion by DWT, case 1.

Figure 5. Inversion by SVD, case 1.

Figure 5. Inversion by SVD, case 1.

Figure 6. (a) Surface temperature Ts and (b) Temperature measured (with noise) inside the slab Tm for case 2.

Figure 6. (a) Surface temperature Ts and (b) Temperature measured (with noise) inside the slab Tm for case 2.

Figure 7. Plot of components of the DWT of Tm, case 2.

Figure 7. Plot of components of the DWT of Tm, case 2.

Figure 8. Results by DWT (a) and SVD (b), case 2.

Figure 8. Results by DWT (a) and SVD (b), case 2.

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