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.
Original language | English |
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Article number | 545 |
Journal | Mathematics |
Volume | 7 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- Caputo fractional derivative
- Collocation method
- Fractional derivative
- Fractional differential equations
- Haar wavelet
ASJC Scopus subject areas
- General Mathematics