Open AccessA new difference scheme for fractional cable equation and stability analysis
Author(s) -
İbrahim Karatay,
Nurdane Kale
Publication year - 2015
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v4i1.3875
Subject(s) - mathematics , fractional calculus , stability (learning theory) , scheme (mathematics) , mathematical analysis , computer science , machine learning
We consider the fractional cable equation. For solution of fractional Cable equation involving Caputo fractional derivative, a new difference scheme is constructed based on Crank Nicholson difference scheme. We prove that the proposed method is unconditionally stable by using spectral stability technique.