Numerical study of nonlinear singular fractional differential equations arising in biology by operational matrix of shifted Legendre polynomials | Zendy

D. Jabari Sabeg | Zendy; R. Ezzati | Zendy

Open Access

Numerical study of nonlinear singular fractional differential equations arising in biology by operational matrix of shifted Legendre polynomials

Author(s) -

D. Jabari Sabeg,

R. Ezzati

Publication year - 2016

Publication title -

communications in numerical analysis

Language(s) - English

Resource type - Journals

ISSN - 2193-4215

DOI - 10.5899/2016/cna-00276

Subject(s) - legendre polynomials , mathematics , nonlinear system , matrix (chemical analysis) , mathematical analysis , associated legendre polynomials , differential equation , orthogonal polynomials , gegenbauer polynomials , classical orthogonal polynomials , physics , materials science , quantum mechanics , composite material

In this paper, we present a new computational method for solving nonlinear singular boundary value problems of fractional order arising in biology. To this end, we apply the operational matrices of derivatives of shifted Legendre polynomials to reduce such problems to a system of nonlinear algebraic equations. To demonstrate the validity and applicability of the presented method, we present some numerical examples

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