Numerical solutions of the fractional KdV-Burgers-Kuramoto equation

Thermal Science

卷:22

Yokus Asıf¹  Kaya Dogan²  Gulbahar Sema² 

[1] Firat University, Department of Actuary, Elazığ, Turkey;

[2] Istanbul Commerce University, Department of Mathematics, Üsküdar, Istanbul, Turkey;

关键词: time-Fractional KdV- Burgers-Kuramoto equation;    finite difference method;    stability;   

DOI  :  10.2298/TSCI170613281K

来源: DOAJ

【 摘 要 】

Non-linear terms of the time-fractional KdV-Burgers-Kuramoto equation are linearized using by some linearization techniques. Numerical solutions of this equation are obtained with the help of the finite difference methods. Numerical solutions and corresponding analytical solutions are compared. The L2and L∞ error norms are computed. Stability of given method is investigated by using the Von Neumann stability analysis.

【 授权许可】

Unknown