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Scholars Journal of Physics, Mathematics and Statistics | Volume-2 | Issue-01
Rationalized Haar collocation method for solving singular nonlinear LaneEmden type equations
A. Pirkhedri, H. H. S. Javadi, H. R. Navidi, O. Ghaderi
Published: Jan. 11, 2015 | 89 70
DOI: 10.36347/sjpms
Pages: 13-20
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Abstract
In this study we have proposed the Rationalized Haar (RH) collocation method for the solution of LaneEmden equations arising in astrophysics as singular initial value problems. In order to test the applicability, accuracy and efficiency of this new method, we considered two examples, for which the comparisons verify our present method. Comparing the results of RH collocation method with the exact solutions clearly indicates that our methods is accurate even when singularity occurs at the boundary. Keywords: Rationalized Haar; Collocation Method; Lane-Emden Equation; Singularity