Tau-Path Following Method for Solving the Riccati Equation with Fractional Order | Zendy

Muhammed I. Syam | Zendy; Hani I. Siyyam | Zendy; I. A. Al-Subaihi | Zendy

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Tau-Path Following Method for Solving the Riccati Equation with Fractional Order

Author(s) -

Muhammed I. Syam,

Hani I. Siyyam,

I. A. Al-Subaihi

Publication year - 2014

Publication title -

journal of computational methods in physics

Language(s) - English

Resource type - Journals

eISSN - 2356-7287

pISSN - 2314-6834

DOI - 10.1155/2014/207916

Subject(s) - legendre polynomials , mathematics , riccati equation , fractional calculus , order (exchange) , legendre's equation , mathematical analysis , path (computing) , derivative (finance) , legendre wavelet , legendre function , differential equation , computer science , discrete wavelet transform , wavelet transform , finance , artificial intelligence , financial economics , wavelet , economics , programming language

A formulation for the fractional Legendre functions is constructed to find the solution of the fractional Riccati equation. The fractional derivative is described in the Caputo sense. The method is based on the Tau Legendre and path following methods. Theoretical and numerical results are presented. Analysis for the presented method is given

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