Author/Authors :
Saeedi, Habibollah Department of Applied Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - kerman, Islamic Republic of Iran , Askari Hemmat, Ataollah Department of Applied Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - kerman, Islamic Republic of Iran , Ismaeelpour, Tahereh Department of Applied Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - kerman, Islamic Republic of Iran
Abstract :
In this work, we proposed an eective method based on quartic
and pantic B-spline scaling functions to solve partial dierential
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 quartic 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 eectivity
of the technique