An efficient spline technique for solving time-fractional integro-differential equations

Spline curves are very prominent in the mathematics due to their simple construction, accuracy of assessment and ability approximate complicated structures into interactive curved designs. A spline is a smooth piece-wise polynomial function. The primary goal this study use extended cubic B-spline (ExCuBS) functions with new second order derivative approximation obtain numerical solution weakly singular kernel (SK) non-linear fractional partial integro-differential equation (FPIDE). spatial temporal derivatives discritized by ExCuBS Caputo finite difference scheme, respectively. present found that it stable convergent. validity current approach examined on few test problems, obtained outcomes compared those have previously been reported literature.