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A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method
Journal article   Peer reviewed

A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method

Lazhar Bougoffa, Randolph C. Rach and Abdelaziz Mennouni
Applied mathematics and computation, Vol.218(5), pp.1785-1793
01/11/2011
DOI: https://doi.org/10.1016/j.amc.2011.06.062

Abstract

Abel integral equations Adomian decomposition method
In this paper, linear and nonlinear Abel integral equations are transformed in such a manner that the Adomian decomposition method can be applied. Some examples with closed-form solutions are studied in detail to further illustrate the proposed technique, and the results obtained indicate this approach is indeed practical and efficient.

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