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Convergence of the Adomian method applied to a class of nonlinear integral equations

✍ Scribed by I.L. El-Kalla

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
150 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

A class of iterative methods with third-
A class of iterative methods with third-order convergence to solve nonlinear equations
✍ M. Γ‡etin KoΓ§ak πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 223 KB

Algebraic and differential equations generally co-build mathematical models. Either lack or intractability of their analytical solution often forces workers to resort to an iterative method and face the likely challenges of slow convergence, non-convergence or even divergence. This manuscript presen