Numerical solutions of the fractional KdV-Burgers-Kuramoto equation

Author:

Kaya Dogan1,Gulbahar Sema1,Yokus Asıf2

Affiliation:

1. Istanbul Commerce University, Department of Mathematics, Üsküdar, Istanbul, Turkey

2. Firat University, Department of Actuary, Elazığ, Turkey

Abstract

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 L2 and L? error norms are computed. Stability of given method is investigated by using the Von Neumann stability analysis.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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