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