The variational iteration method for solving systems of equations of Emden–Fowler type

DOI10.1080/00207160.2011.587513zbMath1244.34016OpenAlexW2094260524MaRDI QIDQ2885557

Abdul-Majid Wazwaz

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.587513

zbMATH Keywords

Lagrange multiplierssingularityEmden-Fowler equationsystems of equationsvariational iteration method

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34)

Related Items (3)

Solving coupled Lane-Emden equations by Green's function and decomposition technique ⋮ Modified Adomian decomposition method to solve generalized Emden-Fowler systems for singular IVP ⋮ Numerical algorithm for solution of the system of Emden-Fowler type equations

Cites Work

• 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
• First integrals for a generalized coupled Lane-Emden system
• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• Solutions of singular IVPs of Lane-Emden type by the variational iteration method
• 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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