A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising

Abstract Image denoising approaches based on partial differential modeling have attracted a lot of attention in image processing due to their high performance. The nonlinear anisotropic diffusion equations, specially Perona–Malik model, are powerful tools that improve the quality by removing noise while preserving details and edges. In this paper, we propose accurate local meshless algorithm solve time-fractional model which has an adjustable fractional derivative making control process more convenient than classical one. order overcome complexities problem, suitable combination compactly supported radial basis function method operator splitting technique is proposed convert complex equation into sparse linear algebraic systems standard solvers can solve. numerical results models explored different metrics demonstrate scheme’s effectiveness. experiments confirm denoise digital images show increases model’s ability remove images.