The exact solution of the third order partial differential equation defined by Atangana-Baleanu Caputo (ABC) fractional derivative is calculated for depending on the initial and boundary values. Stability estimates are obtained for this equation. Implicit Rather difference schemes are constructed for this problem. The stability of difference schemes for this problem is presented. This technique has been applied by ABC fractional orders α=0.001,0.1,0.5,0.99,0.999. Approximation solution confirms the accuracy and effectiveness of the technique.
: April 17, 2020
|APA||Modanlı, M , Eker, S . (2020). Implicit Rather Difference Method for Third Order Differential Equations in the Sense of Atangana-Baleanu Caputo Fractional Derivative . Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi , 7 (2) , 952-959 . DOI: 10.35193/bseufbd.722419|