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A New Generalized Laguerre-Gauss Collocation Scheme For Numerical Solution Of Generalized Fractional Pantograph Equations

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Date

2014

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Abstract

The manuscript is concerned with a generalization of the fractional pantograph equation which contains a linear functional argument. This type of equation has applications in many branches of physics and engineering. A new spectral collocation scheme is investigated to obtain a numerical solution of this equation with variable coefficients on a semi-infinite domain. This method is based upon the generalized Laguerre polynomials and Gauss quadrature integration. This scheme reduces solving the generalized fractional pantograph equation to a system of algebraic equations. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented.

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Keywords

Functional Differential Equations, Fractional Pantograph Equation, Collocation Method, Generalized Laguerre-Gauss Quadrature, Generalized Laguerre Polynomials

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Citation

Bhrawy, A. H...et al. (2014). "A New Generalized Laguerre-Gauss Collocation Scheme For Numerical Solution Of Generalized Fractional Pantograph Equations", Romanian Journal of Physics, Vol. 59, No. 7-8, pp. 646-657.

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Source

Romanian Journal of Physics

Volume

59

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7-8

Start Page

646

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657