Variational iteration method for singular perturbation initial value problems

DOI10.1016/j.cpc.2010.01.007zbMath1205.65210OpenAlexW2167423608MaRDI QIDQ615173

Ai-Guo Xiao, Yong-Xiang Zhao

Publication date: 5 January 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.01.007

zbMATH Keywords

convergencesingular perturbationnumerical examplesinitial value problemsvariational iteration method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations for ordinary differential equations (34E15)

Related Items (4)

Convergence of variational iteration method for second-order delay differential equations ⋮ Variational iteration method for singular perturbation initial value problems with delays ⋮ Convergence of variational iteration method for fractional delay integrodifferential-algebraic equations ⋮ Interpolated variational iteration method for initial value problems

Cites Work

• Variational iteration method for solving the multi -- pantograph delay equation
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• Variational iteration method: New development and applications
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• Variational iteration method for solving two-point boundary value problems
• On the convergence of He's variational iteration method
• The variational iteration method for analytic treatment for linear and nonlinear ODEs
• Application of the variational iteration method to some nonlinear one-dimensional oscillations
• Convergence of parallel multistep hybrid methods for singular perturbation problems
• Variational iteration method for delay differential equations
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• Convergence of the variational iteration method for solving linear systems of ODEs with constant coefficients
• Variational iteration method for autonomous ordinary differential systems

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