Research Article
Existence and Uniqueness of Weak Solutions for Novel Anisotropic Nonlinear Diffusion Equations Related to Image Analysis
Table 2
The best possible parameters for different diffusion functions.
| | | WZ [4] | Proposed | | | | | | | | |
| Patient30 | 0.005 | 0.08331 | 0.14701 | 4.61411 | 1.13191 | 0.66151 | −0.00011 | −0.10441 | 0.010 | 0.08331 | 0.14991 | 5.00191 | 1.10891 | 0.45921 | −0.00011 | −0.04351 | 0.015 | 0.08331 | 0.15051 | 5.20221 | 1.10601 | 0.45671 | −0.00021 | −0.03851 | 0.020 | 0.08331 | 0.14701 | 5.86411 | 1.13281 | 0.46991 | −0.00021 | −0.03961 | 0.100 | 0.08331 | 0.15001 | 5.08081 | 1.10111 | 0.45791 | −0.00091 | −0.03951 |
| Patient50 | 0.005 | 0.08331 | 0.14941 | 3.18011 | 1.09241 | 0.56271 | −0.00021 | −0.01151 | 0.010 | 0.08321 | 0.16231 | 1.89931 | 1.00171 | 0.56991 | −0.00001 | −0.00201 | 0.015 | 0.08331 | 0.16591 | 2.06951 | 0.99011 | 0.56981 | −0.00011 | −0.11471 | 0.020 | 0.08331 | 0.16101 | 1.79891 | 1.00001 | 0.56981 | −0.00011 | −0.01051 | 0.100 | 0.08331 | 0.15301 | 3.87001 | 0.98701 | 0.55511 | −0.00031 | −0.13411 |
| Patient55 | 0.005 | 0.08321 | 0.14681 | 3.50081 | 1.12891 | 0.58971 | −0.00021 | −0.16571 | 0.010 | 0.08331 | 0.14701 | 3.31431 | 1.12621 | 0.58281 | −0.00131 | −0.17311 | 0.015 | 0.08331 | 0.15141 | 3.09991 | 1.09021 | 0.58881 | −0.01401 | −0.18991 | 0.020 | 0.08331 | 0.14881 | 3.39691 | 1.08721 | 0.53891 | −0.00011 | −0.15801 | 0.100 | 0.08331 | 0.14991 | 2.70091 | 1.08901 | 0.56861 | −0.00021 | −0.20951 |
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