Numerical Solution of Fractional Ordinary Differential Equations using a Multiquadric Approximation Scheme

In this study, the aim was to present a Multiquadric (MQ) approximation scheme on the numerical solution of Fractional Ordinary Differential Equations (FODEs) using extensively in engineering. The properties of the proposed MQ approximation scheme and its advantages which include using data points in arbitrary locations with arbitrary ordering are presented. Comparing between the numerical results obtained from our method and the other methods confirms the good accuracy of the presented scheme. Also, we present some experiments wherein the numerical results show that the method works excellently, even where the data points are scattered.