A new difference scheme for fractional cable equation and stability analysis

  • Authors

    • Ibrahim Karatay Fatih University
    • Nurdane Kale Fatih University
    2015-01-05
    https://doi.org/10.14419/ijamr.v4i1.3875
  • Cable equation, Caputo fractional derivative, Difference scheme, Stability.

  • 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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    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