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A New Technique for Solving Fractional Order Systems: Hermite Collocation Method 被引量:2

A New Technique for Solving Fractional Order Systems: Hermite Collocation Method
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摘要 In this study, we establish an approximate method which produces an approximate Hermite polynomial solution to a system of fractional order differential equations with variable coefficients. At collocation points, this method converts the mentioned system into a matrix equation which corresponds to a system of linear equations with unknown Hermite polynomial coefficients. Construction of the method on the aforementioned type of equations has been presented and tested on some numerical examples. Results related to the effectiveness and reliability of the method have been illustrated. In this study, we establish an approximate method which produces an approximate Hermite polynomial solution to a system of fractional order differential equations with variable coefficients. At collocation points, this method converts the mentioned system into a matrix equation which corresponds to a system of linear equations with unknown Hermite polynomial coefficients. Construction of the method on the aforementioned type of equations has been presented and tested on some numerical examples. Results related to the effectiveness and reliability of the method have been illustrated.
作者 Nilay Akgonullu Pirim Fatma Ayaz Nilay Akgonullu Pirim;Fatma Ayaz(Ankara, Turkey;Department of Mathematics, Gazi University, Ankara, Turkey)
出处 《Applied Mathematics》 2016年第18期2307-2323,共17页 应用数学(英文)
关键词 Fractional Order Differential Equations Hermite Polynomials Hermite Series Collocation Methods Fractional Order Differential Equations Hermite Polynomials Hermite Series Collocation Methods
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