quartic and pantic b-spline operational matrix of fractional integration

نویسندگان

ataollah askari hemmat

depatrment of mathematics graduate university of advanced technology tahereh ismaeelpour

shahid bahonar university of kerman habibollah saeedi

shahid bahonar university of kerman, kerman, iran

چکیده

in this work, we proposed an ef ective method based on cubic and pantic b-spline scaling functions to solve partial di fferential equations of frac- tional order. our method is based on dual functions of b-spline scaling func- tions. we derived the operational matrix of fractional integration of cubic and pantic b-spline scaling functions and used them to transform the mentioned equations to a system of algebraic equations. some examples are presented to show the applicability and e fectivity of the technique.

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عنوان ژورنال:
wavelets and linear algebra

جلد ۳، شماره ۲، صفحات ۵۵-۶۸

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