A numerical method for solution of semidifferential equations

摘要

In this paper, a new algorithm for the numerical solution of semidi.erential equa- tions with constant coe.cients and fractional derivative defined in the Caputo sense is presented. The algorithm is obtained by using the spline collocation method. Moreover, a new technique for calculating the fractional derivative of the spline polynomial is derived. Numerical examples are also presented to test and illustrate the method.