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Browsing by Author "Al-Zahrani, A. A."

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    Citation - WoS: 59
    Citation - Scopus: 63
    A New Generalized Laguerre-Gauss Collocation Scheme for Numerical Solution of Generalized Fractional Pantograph Equations
    (Editura Acad Romane, 2014) Bhrawy, A. H.; Baleanu, Dumitru; Al-Zahrani, A. A.; Alhamed, Y. A.; Baleanu, D.; Matematik
    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.