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Computational Methods for Differential Equations New Solutions for Singular Lane-Emden Equations Arising in As-trophysics Based on Shifted Ultraspherical Operational Matrices of Derivatives
2014
unpublished
In this paper, the ultraspherical operational matrices of derivatives are constructed. Based on these operational matrices, two numerical algorithms are presented and analyzed for obtaining new approximate spectral solutions of a class of linear and nonlinear Lane-Emden type singular initial value problems. The basic idea behind the suggested algorithms is built on transforming the equations with their initial conditions into systems of linear or nonlinear algebraic equations which can be
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