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Atangana-Baleanu Caputo Anlamında Üçüncü Mertebeden Kesirli Türevli Diferansiyel Denklemler için Implicit Rather Fark Metodu
2020
Journal:  
Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi
Author:  
Abstract:

Atangana-Baleanu Caputo (ABC) türevi ile tanımlı üçüncü mertebeden kesirli kısmi diferansiyel denklemin tam çözümü başlangıç ve sınır değerlerine bağlı olarak hesaplandı. Bu denklem için kararlılık kestirimleri verildi. Bu denklem Implicit Rather fark metodu ile çözüldü. Problem için fark şemalarının kararlılığı gösterildi. Bu teknik ABC üçüncü mertebeden kısmi diferansiyel denklemin α=0.001,0.1,0.5,0.99,0.999 için kesirli türev değerlerine karşılık uygulanmıştır. Yaklaşık çözüm, tekniğin doğruluğunu ve etkinliğini onaylar.

Keywords:

Implicit Rather Difference Method For Third Order Differential Equations In The Sense Of Atangana-baleanu Caputo Fractional Derivative
2020
Author:  
Abstract:

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.

Keywords:

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Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Ulusal

Metrics
Article : 528
Cite : 653
2023 Impact : 0.174
Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi