Central part interpolation schemes for a class of fractional initial value problems
Central part interpolation schemes for a class of fractional initial value problems
We consider an initial value problem for linear fractional integro-differential equations with weakly singular kernels. Using an integral equation reformulation of the underlying problem, a collocation method based on the central part interpolation by continuous piecewise polynomials on the uniform grid is constructed and analysed. Optimal convergence order of the …