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Numerical solutions of the fractional KdV-Burgers-Kuramoto equation

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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… Click to show full 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 2 L and L∞ error norms are computed. Stability of given method is investigated by using the Von Neumann stability analysis.

Keywords: fractional kdv; kuramoto equation; numerical solutions; burgers kuramoto; kdv burgers; equation

Journal Title: Thermal Science
Year Published: 2017

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