A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations

DOI10.1016/j.cnsns.2008.12.015zbMath1221.65202OpenAlexW2023641936MaRDI QIDQ717954

Liu Ming Zhu, Yahya Qaid Hasan

Publication date: 23 September 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.2008.12.015

zbMATH Keywords

singular boundary value problemsAdomian decomposition methodhigh-order ordinary differential equationlinear and non-linear ordinary differential equation

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

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Cites Work

• Unnamed Item
• Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method
• On the convergence of Adomian decomposition method
• Differential equations with singular coefficients
• Solving frontier problems of physics: the decomposition method
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Convergence of Adomian's decomposition method: periodic temperatures.
• An algorithm for solving bond pricing problem.
• Solving the problem of biological species living together by Adomian decomposition method
• Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces
• New ideas for proving convergence of decomposition methods
• Modified decomposition solution of linear and nonlinear boundary-value problems
• A review of the decomposition method and some recent results for nonlinear equations

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