Adomian solution of a nonlinear quadratic integral equation

Adomian solution of a nonlinear quadratic integral equation

We are concerned here with a nonlinear quadratic integral equation (QIE). The existence of a unique solution will be proved. Convergence analysis of Adomian decomposition method (ADM) applied to these type of equations is discussed. Convergence analysis is reliable enough to estimate the maximum abs...

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Bibliographic Details
Main Author: E.A.A. Ziada
Format: Article
Language:English
Published: SpringerOpen 2013-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Nonlinear quadratic integral equation
Banach space
Fixed point theorem
Convergence analysis
Adomian method
Repeated trapezoidal method
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X12000582

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http://www.sciencedirect.com/science/article/pii/S1110256X12000582

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