Adomian decomposition method is a special case of Lyapunov's artificial small parameter method

DOI10.1016/j.aml.2015.04.011zbMath1325.65119OpenAlexW1990768872MaRDI QIDQ494574

Songxin Liang, Xiaolong Zhang

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.04.011

zbMATH Keywords

Adomian decomposition methodLyapunov's artificial small parameter method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99)

Related Items (3)

Pseudo-parameter iteration method (PIM): a semi-analytic solution procedure for nonlinear problems ⋮ A novel analytic approximation method with a convergence acceleration parameter for solving nonlinear problems ⋮ Solving nonlinear differential equations using hybrid method between Lyapunov's artificial small parameter and continuous particle swarm optimization

Cites Work

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• The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations
• Convergence of Adomian's method
• Artificial small parameter method-solving mixed boundary value problems
• Noise terms in decomposition solution series
• The existence of noise terms for systems of inhomogeneous differential and integral equations
• Nonlinear stochastic differential delay equations
• Convergence of the Adomian decomposition method for initial-value problems

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