A New Algorithm for Fractional Riccati Type Differential Equations by Using Haar Wavelet

M. Motawi Khashan, Rohul Amin and Muhammed I. Syam
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M. Motawi Khashan: Department of Basic Sciences, Common First Year, King Saud University, Riyadh 11451, Saudi Arabia
Rohul Amin: Department of Mathematics, University of Peshawar, Peshawar 25120, Pakistan
Muhammed I. Syam: Department of Mathematical Sciences, UAE University, Al-Ain 15551, UAE

Mathematics, 2019, vol. 7, issue 6, 1-12

Abstract: In this paper, a new collocation method based on Haar wavelet is developed for numerical solution of Riccati type differential equations with non-integer order. The fractional derivatives are considered in the Caputo sense. The method is applied to one test problem. The maximum absolute estimated error functions are calculated, and the performance of the process is demonstrated by calculating the maximum absolute estimated error functions for a distinct number of nodal points. The results show that the method is applicable and efficient.

Keywords: fractional differential equations; fractional derivative; Caputo fractional derivative; Haar wavelet; collocation method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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