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Numerical Solution of Fractional Control System By Haar-Wavelet Operational Matrix Method
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نویسنده
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Mashoof M. ,Refahi Sheikhani A. H.
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منبع
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International Journal Of Industrial Mathematics - 2016 - دوره : 8 - شماره : 3 - صفحه:289 -298
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چکیده
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In recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet's methods. the following method is based on vector forms of haar-wavelet functions. in this paper, we will introduce one dimensional haar-wavelet functions and the haar-wavelet operational matrices of the fractional order integration. also the haar-wavelet operational matrices of the fractional order differentiation are obtained. then we propose the haar-wavelet operational matrix method to achieve the haar-wavelet time response output solution of fractional order linear systems where a fractional derivative is defined in the caputo sense. using collocation points, we have a sylvester equation which can be solve by block krylov subspace methods. so we have analyzed the errors. the method has been tested by a numerical example. since wavelet representations of a vector function can be more accurate and take less computer time, they are often more useful
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کلیدواژه
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Fractional Control System; Haar Wavelet; Sylvester Equation
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آدرس
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Islamic Azad University, Lahijan Branch, Department Of Mathematics, ایران, Islamic Azad University, Lahijan Branch, Department Of Mathematics, ایران
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Authors
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