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Convergence of Adomian's method applied to nonlinear equations

✍ Scribed by K. Abbaoui; Y. Cherruault

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
266 KB
Volume
20
Category
Article
ISSN
0895-7177

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πŸ“œ SIMILAR VOLUMES

Convergence of the Adomian method applie
Convergence of the Adomian method applied to a class of nonlinear integral equations
✍ I.L. El-Kalla πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 150 KB

In this work, a reliable approach for convergence of the Adomian method when applied to a class of nonlinear Volterra integral equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of the Adomian series solution.

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✍ Y. Cherruault πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 296 KB

We propose general conditions and a new formulation for proving the convergence of Adorn&n's method for the numerical resolution of nonlinear functional equations depending on one or several variables.

Adomian’s decomposition method and homot
Adomian’s decomposition method and homotopy perturbation method in solving nonlinear equations
✍ Jian-Lin Li πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 380 KB

## a b s t r a c t The Adomian's decomposition method and the homotopy perturbation method are two powerful methods which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. By theoretical analysis of the two methods, we show,