  In this paper, an efficient numerical technique for the time-fractional
telegraph equation is proposed. The aim of this paper is to use a relatively
new type of B-spline called the cubic trigonometric B-splines for the proposed
scheme. This technique is based on finite difference formulation for the Caputo
time-fractional derivative and cubic trigonometric B-splines based technique
for the derivatives in space. A stability analysis of the scheme is set up to
affirm that the errors do not amplify. Computational experiments are carried
out in addition to verify the theoretical analysis. Numerical results are
compared with some existing techniques and it is concluded that the present
scheme is more accurate and effective.
