Nonpolynomial Spline Interpolation for Solving Fractional Subdiffusion Equations

Abstract

The nonpolynomial spline interpolation is proposed to distinguish numerical analysis from the senes boundary conditions, accurance error estimations. The idea used in this article is readily applicable to obtain numerical solution of nonpolynomial spline interpolation. These analyze the methods that are suitable for the numerical solution of subdiffusion equation. The method has been shown to be stable by using von Neumann technique. The accuracy and efficiency of the scheme are checked by several examples to obtain numerical tests.