Series approach to the Lane–Emden equation and comparison with the homotopy perturbation method

By Juan I. Ramos. 2008

166 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e5988316afe240d19214a67bbe3b026310892603

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In Modeling and Simulation

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In Numerical Analysis

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In Statistical and Nonlinear Physics

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Citations in the corpus

• SOLUTION OF AN INTEGRO-DIFFERENTIAL EQUATION ARISING IN OSCILLATING MAGNETIC FIELDS USING HE'S HOMOTOPY PERTURBATION METHOD (2008, unknown): “The homotopy perturbation method is compared in [27] to some series solution of the Lane-Emden equation.”
• Chebyshev Spectral Methods and the Lane-Emden Problem (2011, background): “Expansions about x = ξ for integer m only Nouh [20] power series in x2, accelerated by Euler sum acceleration, then applied Padé Parand et al. [21] rational Legendre on x ∈ [0,∞]; restricted to integer m Pascual [22] Padé approximants Ramos [23] homotopy perturbation applied to both differential eq.”
• Four techniques based on the B‐spline expansion and the collocation approach for the numerical solution of the Lane–Emden equation (2013, unknown): “The interested reader can see [1, 6–25].”