  In this paper, we propose an efficient numerical scheme for the approximate
solution of the time fractional diffusion-wave equation with reaction term
based on cubic trigonometric basis functions. The time fractional derivative is
approximated by the usual finite difference formulation and the derivative in
space is discretized using cubic trigonometric B-spline functions. A stability
analysis of the scheme is conducted to confirm that the scheme does not amplify
errors. Computational experiments are also performed to further establish the
accuracy and validity of the proposed scheme. The results obtained are compared
with a finite difference schemes based on the Hermite formula and radial basis
functions. It is found that our numerical approach performs superior to the
existing methods due to its simple implementation, straight forward
interpolation and very less computational cost.
