A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising
DOI10.1186/s13662-022-03728-2OpenAlexW4294025639WikidataQ113753393 ScholiaQ113753393MaRDI QIDQ2110475
B. Hadian Siahkal-Mahalle, J. Mazloum
Publication date: 21 December 2022
Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-022-03728-2
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Uses Software
Cites Work
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- Nonlinear total variation based noise removal algorithms
- Matlab
- Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model
- A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions
- Local error estimates for adaptive simulation of the reaction-diffusion master equation via operator splitting
- An image denoising approach based on a meshfree method and the domain decomposition technique
- Solving fractional diffusion and wave equations by modified homotopy perturbation method
- The structure of images
- An algorithm for solving the fractional convection-diffusion equation with nonlinear source term
- Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options
- Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Radial basis function methods for the Rosenau equation and other higher order PDEs
- Finite difference and Legendre spectral method for a time-fractional diffusion-convection equation for image restoration
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Adaptive fractional-order multi-scale method for image denoising
- Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures
- Anti-aliasing of gray-scale/color/outline images: looking through the lens of numerical approaches for PDE-based models
- Analysis of fractional multi-dimensional Navier-Stokes equation
- A new derivative with normal distribution kernel: theory, methods and applications
- Iterative method for solving one-dimensional fractional mathematical physics model via quarter-sweep and PAOR
- Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: a numerical simulation study
- Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods
- Domain decomposition methods in image denoising using Gaussian curvature
- Finite element numerical approximation for two image denoising models
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement
- Scattered Data Approximation
- A fractional‐order mathematical model for analyzing the pandemic trend of COVID‐19
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