alexa Picard and Adomian methods for quadratic integral equation
Mathematics

Mathematics

Journal of Applied & Computational Mathematics

Author(s): ELSAYED AMA, HASHEM HHG, ZIADA EAA

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We are concerning with two analytical methods; the classical method of successive approximations (Picard method) [14] which consists the construction of a sequence of functions such that the limit of this sequence of functions in the sense of uniform convergence is the solution of a quadratic integral equation, and Adomian method which gives the solution as a series see ([1-6], [12] and [13]). The existence and uniqueness of the solution and the convergence will be discussed for each method.

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This article was published in Computational & Applied Mathematics and referenced in Journal of Applied & Computational Mathematics

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