Solving the coefficients of Lubich generating function in the algorithm for G-L fractional derivative with high-order approximation
Researching the approximation order of G-L fractional derivative,the numerical algorithm with high precision is introduced,and three methods are proposed to solve the coefficients of Lubich generating function with high-order approximation.From the point of view of signal processing,the analytical expression of the coefficients of Lubich generating function is derived strictly theoretically for the first time by using the Lagrange interpolation approximation method.A generating function of any order is constructed.Through the equivalence of different forms of generating function,the coefficients of generating function are solved by mathematical induction and matrix equation,and the correctness of the conclusion is verified.
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