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In this work, a numerical scheme is proposed to solve Space Fractional Order Wave Equation (SFOWE). This approach uses shifted Chebyshev Polynomials of the fourth kind. The fractional derivatives are expressed in Caputo sense. Thereafter, the Chebyshev collocation method together with finite difference method were used to reduce the system of second order ordinary differential equations so obtained to a system of linear algebraic equations. These are then solved to obtain the unknown constants that are later substituted into the assumed solution to get the desired approximate solution which are presented in tabular form and 3D graphs. Comparison was made between the exact solution and the solution obtained using the proposed method. The results show that the proposed method compared favourably with the existing results in the literature. The approach advocated in the present work does not make use of any linearization procedure, nor does it makes use of implicit numerical scheme, and that makes it attractive than the earlier approaches in the literature.
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