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Solution of new nonlinear second order singular perturbed Lane-Emden equation by the numerical spectral collocation method |
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PP: 11-19 |
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Author(s) |
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M. A. Abdelkawy,
Zulqurnain Sabir,
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Abstract |
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| The aim of the present study is to design a new nonlinear second order singularly perturbed Lane-Emden equation and report numerical solutions by using a well-known spectral collocation technique. The idea of the present study has been taken from the standard Lane-Emden equation. For the model validation, three different examples based on the singular perturbed Lane-Emden equation along with three cases have been presented and the solutions are numerically investigated by using a spectral collocation technique. Comparison of the present outcomes with the exact solutions shows the exactness, correctness and stability of the designed model as well as the present scheme. Moreover, absolute error and convergence are derived in the form of plots as well as tables. |
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