From stochastic processes to numerical methods: A new scheme for solving reaction subdiffusion fractional partial differential equations.
Christopher AngstmannIsaac C. DonnellyBruce Ian HenryB. A. JacobsTrevor Ashley Mcpherson LanglandsJames A. NicholsPublished in: J. Comput. Phys. (2016)
Keyphrases
- partial differential equations
- numerical methods
- stochastic processes
- finite difference method
- numerical scheme
- stochastic process
- anisotropic diffusion
- reaction diffusion
- level set
- numerical solution
- probability distribution
- differential equations
- image denoising
- random fields
- semi implicit
- image processing
- image enhancement
- finite element method
- random variables
- energy functional
- brownian motion
- numerical algorithms
- curve evolution
- finite difference
- multiscale
- dynamic bayesian networks
- diffusion equation
- markov chain
- diffusion process
- high order
- image analysis
- dynamical systems
- active contours
- nonlinear diffusion
- markov random field
- dynamic programming