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A Comparative Study Of The Point Implicit Schemes On Solving The 2D Time Fractional Cable Equation.
- Source :
-
AIP Conference Proceedings . 2017, Vol. 1870 Issue 1, p1-7. 7p. 5 Charts. - Publication Year :
- 2017
-
Abstract
- The time fractional cable equation is a fundamental equation used for modeling neuronal dynamics. The equation is obtained by substituting the first order time derivative in the standard equation with a Caputo fractional derivative of order α, where 0 < α < 1. In this paper, two implicit difference schemes, the fully implicit (FI) and the Crank-Nicolson (C-N) difference schemes are employed in solving the 2D time fractional cable equation (TFCE). A comparative study between these two schemes will be conducted via numerical experiments. The efficiency of the schemes in terms of accuracy and computing time will be reported and discussed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1870
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 124525496
- Full Text :
- https://doi.org/10.1063/1.4995882