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The applications of non-polynomial spline to the numerical solution for fractional differential equations
(Maltepe Üniversitesi, 2021) K. Hamasalh, Faraidun; Headayat, Mizhda Abbas
This paper presents a computation and discuss on non-polynomial spline of fractional order to solve the differential equations with Caputo fractional derivative. Taylor series is applied to discretize the time derivative of the function. Several examples are considered to confirm the accuracy of the spline method and to show the completion of non-polynomial spline. In addition, we discuss the numerical computations provident and can be used to solve complex problems, also the results are obtained to be in a nice error estimation with known exact solutions.