A new extended cubic B-spline approximation for the numerical solution of the time-fractional fisher equation is formed and examined. The given non-linear partial differential equation through substitution is converted into a linear partial differential equation through substitution, using Taylor's series expansion. The time-fractional derivative is approximated in Caputo's sense while the space dimension is calculated using a new extended cubic B-spline. The proposed numerical technique is

more »

... n to be unconditionally stable and convergent. The errors are used for measuring the accuracy of the proposed technique. The graphical and numerical results are presented to illustrate the performance of the technique.