A reliable treatment of singular Emden-Fowler initial value problems and boundary value problems

DOI10.1016/j.amc.2011.04.084zbMath1220.65095OpenAlexW2003012661MaRDI QIDQ555494

Abdul-Majid Wazwaz

Publication date: 22 July 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.084

zbMATH Keywords

convergencenumerical examplesboundary value problemsiterative methodinitial value problemsvariational iteration methodEmden-Fowler problemsboundary singularity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (14)

Analytical non-autonomous wave solitons for the dispersive cubic-quintic Gross-Pitaevskii equation and the interactions ⋮ An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics ⋮ An Iterative Numerical Method for Solving the Lane–Emden Initial and Boundary Value Problems ⋮ Three-dimensional exact solutions of Gross-Pitaevskii equation with variable coefficients ⋮ A numerical method for Lane-Emden equations using hybrid functions and the collocation method ⋮ The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws ⋮ An accurate method for solving a singular second-order fractional Emden-Fowler problem ⋮ Odd and even Lidstone-type polynomial sequences. I: Basic topics ⋮ Non-autonomous wave solutions for the Gross-Pitaevskii (GP) equation with a parabola external potential in Bose-Einstein condensates ⋮ Unnamed Item ⋮ Analytical solution of the fractional initial Emden-Fowler equation using the fractional residual power series method ⋮ Polynomial sequences: elementary basic methods and application hints. A survey ⋮ Exact and numerical solution of Abel integral equations by orthonormal Bernoulli polynomials ⋮ A rapid-converging analytical iterative scheme for solving singular initial value problems of Lane-Emden type

Cites Work

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• An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
• He's variational iteration method for treating nonlinear singular boundary value problems
• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
• Solutions of singular IVPs of Lane-Emden type by the variational iteration method
• Partial differential equations and solitary waves theory
• Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
• Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
• A new method for solving singular initial value problems in the second-order ordinary differential equations
• Analytical solution for the time-dependent Emden--Fowler type of equations by Adomian decomposition method
• Solution of the generalized Emden–Fowler equations by the hybrid functions method
• A new algorithm for solving differential equations of Lane-Emden type

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