Quartic and pantic B-spline operational matrix of fractional integration
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Abstract:
In this work, we proposed an effective method based on cubic and pantic B-spline scaling functions to solve partial differential equations of fractional order. Our method is based on dual functions of B-spline scaling functions. 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 effectivity of the technique.
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Journal title
volume 3 issue 2
pages 55- 68
publication date 2016-12-01
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