Numerical solution of Boundary value problems of fractional order using Cubic-spline Interpolation combined with method function


In this paper we shall use the Cubic spline method combined with shooting method for solving fractional boundary value problems. In this approach the fractional order differential equation will be transformed into a system of ordinary differential equations used for approximating the fractional term. Numerical comparisons between the solution using this new method and the methods introduced in [17, 29] are presented. The obtained numerical results show that the proposed method maintains a remarkable high accuracy.