Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind

DOI10.1007/S10569-010-9318-YzbMath1270.85006OpenAlexW1966036369WikidataQ115384102 ScholiaQ115384102MaRDI QIDQ361662

Robert A. van Gorder

Publication date: 30 August 2013

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-010-9318-y

zbMATH Keywords

perturbation method\(\delta\)-expansion methodBonnor-Ebert gas spheresLane-Emden equation of the second kindquasilinear differential equation

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Galactic and stellar dynamics (85A05)

Related Items (9)

Sinc methods involving exponential transformations to solve Lane-Emden type equations ⋮ Solution of Lane-Emden type equations using Legendre operational matrix of differentiation ⋮ Lane-Emden equations of second kind modelling thermal explosion in infinite cylinder and sphere ⋮ Control of error in the homotopy analysis of semi-linear elliptic boundary value problems ⋮ A representation of the exact solution of generalized Lane-Emden equations using a new analytical method ⋮ Unnamed Item ⋮ A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval ⋮ Jacobi rational–Gauss collocation method for Lane–Emden equations of astrophysical significance ⋮ Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations

Cites Work

• Analytic and numerical solutions to the Lane-Emden equation
• First integrals and bifurcations of a Lane-Emden equation of the second kind
• Novel perturbation expansion for the Langevin equation
• Sulle funzioni ipergeometriche confluenti
• Exact solutions of the generalized Lane–Emden equation
• Boyle's Law and Gravitational Instability
• δ expansion for a quantum field theory in the nonperturbative regime
• A new perturbative approach to nonlinear partial differential equations
• A new perturbative approach to nonlinear problems
• A new algorithm for solving differential equations of Lane-Emden type
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