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Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations
- Source :
- Applied Numerical Mathematics. 168:221-234
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- We give an effective method for solving fractional Riccati differential equations. We first define the fractional-order Boubaker wavelets (FOBW). Using the hypergeometric functions, we determine the exact values for the Riemann-Liouville fractional integral operator of the FOBW. The properties of FOBW, the exact formula, and the collocation method are used to transform the problem of solving fractional Riccati differential equations to the solution of a set of algebraic equations. These equations are solved via Newton's iterative method. The error estimation for the present method is also determined. The performance of the developed numerical schemes is assessed through several examples. This method yields very accurate results. The given numerical examples support this claim.
- Subjects :
- Numerical Analysis
Differential equation
Iterative method
Applied Mathematics
010103 numerical & computational mathematics
01 natural sciences
010101 applied mathematics
Computational Mathematics
Algebraic equation
Operator (computer programming)
Wavelet
Collocation method
Applied mathematics
Effective method
0101 mathematics
Hypergeometric function
Mathematics
Subjects
Details
- ISSN :
- 01689274
- Volume :
- 168
- Database :
- OpenAIRE
- Journal :
- Applied Numerical Mathematics
- Accession number :
- edsair.doi...........f8e958bcc914e07c6629e3a8450eabcc