A convergence analysis of the Adomian decomposition method for an abstract Cauchy problem of a system of first-order nonlinear differential equations

DOI10.1080/00207160.2012.718073zbMath1321.65108OpenAlexW1973978122MaRDI QIDQ2868175

Said El Manouni, Lazhar Bougoffa, Randolph C. Rach

Publication date: 23 December 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.718073

zbMATH Keywords

numerical examplesabstract Cauchy problemerror estimateAdomian decomposition methodAdomian polynomialscoupled system of nonlinear first-order differential equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

New explicit and approximate solutions of the Newton-Schrödinger system ⋮ ADMP: a Maple package for symbolic computation and error estimating to singular two-point boundary value problems with initial conditions ⋮ Series solution of nonlinear differential equations by a novel extension of the Laplace transform method

Cites Work

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• An Efficient Methodology for the Physical Sciences
• On Cauchy Problem for First Order Nonlinear Functional Differential Equations of Non-Volterra's Type
• Properties of solutions of ordinary differential equations in banach space

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