Numerical Solution of Fractional Riccati Differential Equation via Shifted Chebyshev Polynomials of the Third Kind

Handan YASLAN

doi:https://doi.org/10.30931/jetas.304377

Makale detayları

Numerical Solution of Fractional Riccati Differential Equation via Shifted Chebyshev Polynomials of the Third Kind

Yazarlar:

Handan YASLAN

Yayıncı:

Muhammet KURULAY

Ana Başlıklar:

Matematik

Dergi:

Journal of Engineering Technology and Applied Sciences 2017 Vol.2 Issue 1, pp.1-11

Belge Tipi:

Makale

Yayın Tarihi:

4/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000506271

Sıklık:

Üç Yıllık

eISSN:

2548-0391

DOI:

https://doi.org/10.30931/jetas.304377

Özet:

 

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.

Makale detayları

Numerical Solution of Fractional Riccati Differential Equation via Shifted Chebyshev Polynomials of the Third Kind

Yazarlar: Handan YASLAN

Yayıncı: Muhammet KURULAY

Ana Başlıklar: Matematik

Dergi: Journal of Engineering Technology and Applied Sciences 2017 Vol.2 Issue 1, pp.1-11

Belge Tipi: Makale

Yayın Tarihi: 4/2017

Belge Dili: İngilizce

Document ID (Org No.): 2000506271

Sıklık: Üç Yıllık

eISSN: 2548-0391

DOI: https://doi.org/10.30931/jetas.304377

Sayı

Yazarlar:

Handan YASLAN

Yayıncı:

Muhammet KURULAY

Ana Başlıklar:

Matematik

Dergi:

Journal of Engineering Technology and Applied Sciences 2017 Vol.2 Issue 1, pp.1-11

Belge Tipi:

Makale

Yayın Tarihi:

4/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000506271

Sıklık:

Üç Yıllık

eISSN:

2548-0391

DOI:

https://doi.org/10.30931/jetas.304377