An implicit collocation algorithm based on cubic extended B-splines for Caputo time-fractional PDE

Abstract In this paper, an implicit collocation algorithm based on cubic extended B-spline (CExtB-spline) functions is presented for Caputo time-fractional PDE. The derivatives with respect to space variable are discretized using CExtB-spline collocation procedure. The obtained results are compared with existing results. It is noticed that the proposed technique gives more accurate results.