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In this paper, we propose an efficient numerical scheme for the approximatesolution of the time fractional diffusion-wave equation with reaction termbased on cubic trigonometric basis functions. The time fractional derivative isapproximated by the usual finite difference formulation and the derivative inspace is discretized using cubic trigonometric B-spline functions. A stabilityanalysis of the scheme is conducted to confirm that the scheme does not amplifyerrors. Computational experiments are also performed to further establish theaccuracy and validity of the proposed scheme. The results obtained are comparedwith a finite difference schemes based on the Hermite formula and radial basisfunctions. It is found that our numerical approach performs superior to theexisting methods due to its simple implementation, straight forwardinterpolation and very less computational cost.

A Finite Difference Scheme based on Cubic Trigonometric B-splines for Time Fractional Diffusion-wave Equation