Finite Difference Method of Fractional Parabolic Partial Differential Equations That Variable Coefficients

Subject Fractional differential equations and applications
Title Finite Difference Method of Fractional Parabolic Partial Differential Equations That Variable Coefficients
Author(s) Nurdane KALE, İbrahim KARATAY
Keywords difference scheme, stability, Caputo fractional derivative
Abstract In this study, we consider the fractional parabolic partial differential equations that variable coefficients with the Caputo fractional derivative. We constructed a difference scheme based on Crank- Nicholson method. And stability for the solution of this difference scheme is obtained with a sufficient condition.