Picard and Adomian methods for quadratic integral equation
AUTOR(ES)
El-Sayed, A.M.A, Hashem, H.H.G, Ziada, E.A.A
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2010
RESUMO
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. Mathematical subject classification: Primary: 39B82; Secondary: 44B20, 46C05.
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