Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method

DOI10.1016/j.cnsns.2008.09.027zbMath1221.65203OpenAlexW2043112115MaRDI QIDQ716780

Yahya Qaid Hasan, Liu Ming Zhu

Publication date: 2 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.09.027

zbMATH Keywords

singular boundary value problemsAdomian decomposition methodhigher-order ordinary differential equation

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Related Items (16)

A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function ⋮ A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations ⋮ Precise integration method for a class of singular two-point boundary value problems ⋮ Vibration of fluid-conveying pipe with nonlinear supports at both ends ⋮ An operational matrix method for solving Lane-Emden equations arising in astrophysics ⋮ Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem ⋮ Numerical solution of third order singular boundary value problems with nonclassical SE-sinc-collocation and nonclassical DE-sinc-collocation ⋮ Oxygen diffusion in a spherical cell subject to nonlinear Michaelis–Menten kinetics: Mathematical analysis by two exact methods ⋮ Solving singular boundary value problems by optimal homotopy asymptotic method ⋮ A numerical approach for solving the high-order linear singular differential-difference equations ⋮ Higher order Emden-Fowler type equations via uniform Haar wavelet resolution technique ⋮ A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations ⋮ An approximation algorithm for the solution of the Lane-Emden type equations arising in astrophysics and engineering using Hermite polynomials ⋮ The approximate solution of high-order nonlinear ordinary differential equations by improved collocation method with terms of shifted Chebyshev polynomials ⋮ New cubic B-spline approximation for solving third order Emden-Flower type equations ⋮ Complexiton solutions for complex KdV equation by optimal Homotopy Asymptotic Method

Cites Work

• Unnamed Item
• On the convergence of Adomian decomposition method
• Differential equations with singular coefficients
• A reliable modification of Adomian decomposition method
• Solving frontier problems of physics: the decomposition method
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Approximate solutions to boundary value problems of higher order by the modified decomposition method
• Convergence of Adomian's decomposition method: periodic temperatures.
• A new method for solving singular initial value problems in the second-order ordinary differential equations
• New ideas for proving convergence of decomposition methods
• A review of the decomposition method and some recent results for nonlinear equations
• A reliable algorithm for solving boundary value problems for higher-order integro-differentiable equations
• The numerical solution of fifth-order boundary value problems by the decomposition method

This page was built for publication: Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method