A new difference scheme for fractional cable equation and stability analysis

Authors

  • Ibrahim Karatay

    Fatih University

  • Nurdane Kale

    Fatih University

Received date: November 18, 2014

Accepted date: December 15, 2014

Published date: January 5, 2015

DOI:

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

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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How to Cite

Karatay, I., & Kale, N. (2015). A new difference scheme for fractional cable equation and stability analysis. International Journal of Applied Mathematical Research, 4(1), 52-57. https://doi.org/10.14419/ijamr.v4i1.3875

Received date: November 18, 2014

Accepted date: December 15, 2014

Published date: January 5, 2015