First integrals and bifurcations of a Lane-Emden equation of the second kind
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Publication:929553
DOI10.1016/j.jmaa.2008.03.014zbMath1143.80005OpenAlexW2079336852MaRDI QIDQ929553
Ebrahim Momoniat, Charis Harley
Publication date: 17 June 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.014
Related Items
A modified homotopy perturbation method for singular time dependent Emden-Fowler equations with boundary conditions ⋮ A Computational Method for Solving the Lane-Emden Initial Value Problems ⋮ An Iterative Numerical Method for Solving the Lane–Emden Initial and Boundary Value Problems ⋮ Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind ⋮ Unbounded solutions for functional problems on the half-line ⋮ Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden-Fowler equations with initial and boundary conditions ⋮ Lane-Emden equations of second kind modelling thermal explosion in infinite cylinder and sphere ⋮ First integrals and bifurcations of a Lane-Emden equation of the second kind ⋮ A modified homotopy perturbation method for nonlinear singular Lane-Emden equations arising in various physical models ⋮ An implicit series solution for a boundary value problem modelling a thermal explosion ⋮ A representation of the exact solution of generalized Lane-Emden equations using a new analytical method ⋮ Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation
Uses Software
Cites Work
- Group theoretic methods for approximate invariants and Lagrangians for some classes of \(y^{\prime\prime} + F(t)y^{\prime}+y=f(y,y^{\prime})\)
- First integrals and bifurcations of a Lane-Emden equation of the second kind
- Relationship between symmetries and conservation laws
- Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents
- Connections between symmetries and conservation laws
- Numerical Methods for Singular Boundary Value Problems
- The thermal explosion revisited
- Direct Construction of Conservation Laws from Field Equations
- Interaction of Thermal Explosion and Natural Convection: Critical Conditions and New Oscillating Regimes
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- A new algorithm for solving differential equations of Lane-Emden type
