Variational approach to the Lane--Emden equation
From MaRDI portal
Publication:1399817
DOI10.1016/S0096-3003(02)00382-XzbMath1022.65076MaRDI QIDQ1399817
Publication date: 30 July 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
comparison of methodsvariational principlefinite element methodsRitz methodLane-Emden equationsemi-inverse method
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items
Analytical solutions of a class of fractional Lane-Emden equation: a power series method ⋮ Algebraic approach to the Lane-Emden equation ⋮ Solution of Lane-Emden type equations by combination of the spectral method and Adomian decomposition method ⋮ Piecewise-adaptive decomposition methods ⋮ Numerical solution of singular Lane-Emden equation ⋮ An analytic algorithm of Lane-Emden type equations arising in astrophysics using modified homotopy analysis method ⋮ An approximate solitary wave solution with compact support for the modified KdV equation ⋮ Numerical doubly-periodic solution of the \((2+1)\)-dimensional Boussinesq equation with initial conditions by the variational iteration method ⋮ Sinc methods involving exponential transformations to solve Lane-Emden type equations ⋮ On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type. ⋮ Unnamed Item ⋮ Numerical resolution of Emden's equation using Adomian polynomials ⋮ Solution of Lane-Emden type equations using Legendre operational matrix of differentiation ⋮ A nonclassical Radau collocation method for nonlinear initial-value problems with applications to Lane-Emden type equations ⋮ A coupled method of Laplace transform and Legendre wavelets for Lane-Emden-type differential equations ⋮ Unnamed Item ⋮ Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations ⋮ A successive linearization method approach to solve Lane-Emden type of equations ⋮ New analytic solution to the Lane-Emden equation of index 2 ⋮ On the variational iteration method and other iterative techniques for nonlinear differential equations ⋮ A numerical approach for solving the high-order linear singular differential-difference equations ⋮ Numerical simulation of KdV and mKdv equations with initial conditions by the variational iteration method ⋮ High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane-Emden type ⋮ Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method ⋮ Variational approach to higher-order water-wave equations ⋮ Lagrange operational matrix methods to Lane-Emden, Riccati's and Bessel's equations ⋮ Analytical solution for nonlinear wave propagation in shallow media using the variational iteration method ⋮ An implicit series solution for a boundary value problem modelling a thermal explosion ⋮ An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method ⋮ Collocation method for the numerical solutions of Lane–Emden type equations using cubic Hermite spline functions ⋮ Numerical solution of Duffing equation by the Laplace decomposition algorithm ⋮ Exact and analytical solution for nonlinear dispersive \(K(m,p)\) equations using homotopy perturbation method ⋮ Application of variational iteration method to heat- and wave-like equations ⋮ Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method ⋮ Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function ⋮ Solutions of singular IVPs of Lane-Emden type by the variational iteration method ⋮ Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method ⋮ Picard's iterative method for nonlinear advection-reaction-diffusion equations ⋮ Taylor series solution for Lane-Emden equation ⋮ Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type ⋮ A solution to the Lane-Emden equation in the theory of stellar structure utilizing the Tau method
Cites Work
- Construction of Periodic Solutions to Partial Differential Equations with Non-Linear Boundary Conditions.
- The Modified Adomian Decomposition Method for Solving Linear and Nonlinear Boundary Value Problems of Tenth-order and Twelfth-order
- A new perturbative approach to nonlinear problems
- A new algorithm for solving differential equations of Lane-Emden type
This page was built for publication: Variational approach to the Lane--Emden equation
