Adomian solution of a nonlinear quadratic integral equation | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 21, Issue 1, April 2013, Page 52-56 PDF (289.48 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1016/j.joems.2012.11.001 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| E.A.A. Ziada* | ||||
| Faculty of Engineering, Delta University for Science and Technology, Gamasa, Egypt | ||||
| Abstract | ||||
| 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 absolute truncated error of Adomian’s series solution. Two methods are used to solve these type of equations; ADM and repeated trapezoidal method. The obtained results are compared. | ||||
| Keywords | ||||
| Nonlinear quadratic integral equation; Banach space; Fixed point theorem; Convergence analysis; Adomian method; Repeated trapezoidal method | ||||
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