Recently many research works have been conducted and published regarding\nfractional order differential equations. There are several approaches available\nfor numerical approximations of the solution of fractional order diffusion equations.\nSpectral collocation method based on Lagrange�s basis polynomials to\napproximate numerical solutions of one-dimensional (1D) space fractional\ndiffusion equations are introduced in this research paper. The proposed form\nof approximate solution satisfies non-zero Dirichlet�s boundary conditions on\nboth boundaries. Collocation scheme produce a system of first order Ordinary\nDifferential Equations (ODE) from the fractional diffusion equation. We applied\nthis method with four different sets of collocation points to compare\ntheir performance.
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