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

Patient300.0050.083310.147014.614111.131910.66151−0.00011−0.10441
0.0100.083310.149915.001911.108910.45921−0.00011−0.04351
0.0150.083310.150515.202211.106010.45671−0.00021−0.03851
0.0200.083310.147015.864111.132810.46991−0.00021−0.03961
0.1000.083310.150015.080811.101110.45791−0.00091−0.03951

Patient500.0050.083310.149413.180111.092410.56271−0.00021−0.01151
0.0100.083210.162311.899311.001710.56991−0.00001−0.00201
0.0150.083310.165912.069510.990110.56981−0.00011−0.11471
0.0200.083310.161011.798911.000010.56981−0.00011−0.01051
0.1000.083310.153013.870010.987010.55511−0.00031−0.13411

Patient550.0050.083210.146813.500811.128910.58971−0.00021−0.16571
0.0100.083310.147013.314311.126210.58281−0.00131−0.17311
0.0150.083310.151413.099911.090210.58881−0.01401−0.18991
0.0200.083310.148813.396911.087210.53891−0.00011−0.15801
0.1000.083310.149912.700911.089010.56861−0.00021−0.20951