A new difference scheme for fractional cable equation and stability analysis

Authors

  • Ibrahim Karatay Fatih University
  • Nurdane Kale Fatih University

DOI:

https://doi.org/10.14419/ijamr.v4i1.3875

Published:

2015-01-05

Keywords:

Cable equation, Caputo fractional derivative, Difference scheme, Stability.

Abstract

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.

References

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