Solving the Lane-Emden Equation Within a Reproducing Kernel Method and Group Preserving Scheme
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Abstract
We apply the reproducing kernel method and group preserving scheme for investigating the Lane-Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given. These approximations demonstrate the preciseness of the investigated techniques.
Description
Hashemi, Mir Sajjad/0000-0002-5529-3125; Inc, Mustafa/0000-0003-4996-8373
Keywords
Lane-Emden Equation, Group Preserving Scheme, Reproducing Kernel Functions, Approximate Solutions, Lane-Emden equation, group preserving scheme, reproducing kernel functions, QA1-939, Lane–Emden equation; group preserving scheme; reproducing kernel functions; approximate solutions, Lane–Emden equation, approximate solutions, Mathematics, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Nonlinear ordinary differential equations and systems, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Numerical methods for initial value problems involving ordinary differential equations
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Hashemi, Mir Sajjad...et al. (2017). Solving the Lane-Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme. Mathematics, 5(4).
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17
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5
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4
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77
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CrossRef : 17
Scopus : 16
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16
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15
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1
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