Fractional Runge-kutta Methods for Nonlinear Fractional Differential Equation
نویسندگان
چکیده
Based on high order approximation of L-stable RungeKutta methods for the Riemann-Liouville fractional derivatives, several classes of high order fractional Runge-Kutta methods for solving nonlinear fractional differential equation are constructed. Consistency, convergence and stability analysis of the numerical methods are given. Numerical experiments show that the proposed methods are efficient for solving nonlinear fractional differential equation.
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