Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order

Alexandria Engineering Journal

Seda İğret Araz¹  Abdon Atangana² 

[1] Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;University of Free State, Faculty of Natural and Agricultural Sciences, South Africa;

关键词: Heat equation;    New numerical scheme;    Fractional calculus;    Fractal calculus;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this study, we extend newly introduced numerical method to partial differential and integral equations with integer and non-integer order. This numerical approximation suggested by Atangana and Seda was constructed with Newton polynomial. Moreover it is accurate and efficient for solving partial differential and integral equations. Also, we present numerical simulation for solution of the considered equation. The numerical results show that this numerical approach is useful and accurate for obtaining numerical solution of such equations.

【 授权许可】

Unknown