Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind
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Publication:361662
DOI10.1007/S10569-010-9318-YzbMath1270.85006OpenAlexW1966036369WikidataQ115384102 ScholiaQ115384102MaRDI QIDQ361662
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
perturbation method\(\delta\)-expansion methodBonnor-Ebert gas spheresLane-Emden equation of the second kindquasilinear differential equation
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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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