An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models

DOI10.1080/00207160.2015.1045888zbMath1345.34026OpenAlexW1982426609MaRDI QIDQ5739617

Randhir Singh, Abdul-Majid Wazwaz, Jitendra Kumar

Publication date: 19 July 2016

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

Full work available at URL: https://doi.org/10.1080/00207160.2015.1045888

zbMATH Keywords

Green's functionapproximationssingular boundary value problemsAdomian decomposition methodEmden-Fowler equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (10)

An effective approach for solving a class of nonlinear singular boundary value problems arising in different physical phenomena ⋮ A boundary shape function iterative method for solving nonlinear singular boundary value problems ⋮ Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden-Fowler equations with initial and boundary conditions ⋮ A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology ⋮ Solving coupled Lane-Emden equations by Green's function and decomposition technique ⋮ <scp>Time‐adaptive</scp> Adomian decomposition‐based numerical scheme for Euler equations ⋮ Optimal homotopy analysis method for the non-isothermal reaction-diffusion model equations in a spherical catalyst ⋮ A modified homotopy perturbation method for nonlinear singular Lane-Emden equations arising in various physical models ⋮ An effective method for solving singular boundary value problems with some relevant physical applications ⋮ Numerical algorithm for solution of the system of Emden-Fowler type equations

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