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Quartic and pantic B-spline operational matrix of fractional integration. (English) Zbl 1369.65114

Summary: 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.

MSC:

65M22 Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs
35R11 Fractional partial differential equations
65D07 Numerical computation using splines
65T60 Numerical methods for wavelets
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