Novel numerical method of the fractional cable equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01302-w
Abstract: In this article, mainly based on the second order compact approximation of first order derivative, the novel numerical method with second order temporal accuracy and fourth order spatial accuracy is proposed to solve the fractional… read more here.
Keywords: numerical method; order; cable equation; fractional cable ... See more keywords
Fractional cable equation for general geometry: A model of axons with swellings and anomalous diffusion.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.032411
Abstract: Different experimental studies have reported anomalous diffusion in brain tissues and notably this anomalous diffusion is expressed through fractional derivatives. Axons are important to understand neurodegenerative diseases such as multiple sclerosis, Alzheimer's disease, and Parkinson's… read more here.
Keywords: diffusion; anomalous diffusion; geometry; fractional cable ... See more keywords