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Numerical Solution of Fractional Riccati Differential Equation via Shifted Chebyshev Polynomials of the Third Kind
2017
Journal:  
Journal of Engineering Technology and Applied Sciences
Author:  
DOI:  
10.30931/jetas.304377
Abstract:

In this paper, Chebyshev collocation method is applied to fractional Riccati differential equation (FRDE) using the shifted Chebyshev polynomials of the third kind. Approximate analytical solution of FRDE is considered as Chebyshev series expansion. The fractional derivative is described in the Caputo sense. Using properties of Chebyshev polynomials FRDE with initial condition is reduced to a nonlinear system of algebraic equations which solved by the Newton iteration method. The accuracy and efficiency of the proposed method is illustrated by numerical examples.

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Journal of Engineering Technology and Applied Sciences

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

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Article : 123
Cite : 84
2023 Impact : 0.03
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Journal of Engineering Technology and Applied Sciences