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In this paper, an efficient numerical technique for the time-fractionaltelegraph equation is proposed. The aim of this paper is to use a relativelynew type of B-spline called the cubic trigonometric B-splines for the proposedscheme. This technique is based on finite difference formulation for the Caputotime-fractional derivative and cubic trigonometric B-splines based techniquefor the derivatives in space. A stability analysis of the scheme is set up toaffirm that the errors do not amplify. Computational experiments are carriedout in addition to verify the theoretical analysis. Numerical results arecompared with some existing techniques and it is concluded that the presentscheme is more accurate and effective.

The application of cubic trigonometric B-spline to the numerical solution of time-fractional telegraph equation