Convergence of the homotopy analysis method

zbMath1301.65115arXiv1006.4460MaRDI QIDQ2874840

Mustafa Turkyilmazoglu

Publication date: 12 August 2014

Full work available at URL: https://arxiv.org/abs/1006.4460

zbMATH Keywords

numerical exampleserror estimaterotating spherehomotopy analysis methodfractional differential equationDuffing oscillatorsAiry equationThomas-Fermi equationFredholm integro-differential equationGelfand problemconvergence control parametersVolterra differential-difference equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Other nonlinear integral equations (45G10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical computation of solutions to single equations (65H05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional ordinary differential equations (34A08) Numerical methods for functional-differential equations (65L03)

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