A new decomposition method based on infinite products

DOI10.1108/03684920510605849zbMath1117.65329OpenAlexW1980587433MaRDI QIDQ5695209

Saeid Abbasbandy

Publication date: 11 October 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920510605849

zbMATH Keywords

convergencenumerical examplesHilbert spaceAdomian decomposition methodnonlinear control systemsinfinite productsnonlinear functional equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Decomposition methods: A new proof of convergence
• Convergence of Adomian's method applied to nonlinear equations
• On the decomposition method for system of linear equations and system of linear Volterra integral equations
• Solution of a system of nonlinear equations by Adomian decomposition method.
• Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation
• Solution of nonlinear equations by modified Adomian decomposition method
• Convergence of Adomian's Method

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