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Bougoffa, Lazhar; Rach, Randolph C.; Mennouni, Abdelaziz

A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method. (English) Zbl 1252.65207

Appl. Math. Comput. 218, No. 5, 1785-1793 (2011).
Summary: 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 that this approach is indeed practical and efficient.

Cited in 12 Documents

MSC:

65R20 Numerical methods for integral equations
45A05 Linear integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
45G05 Singular nonlinear integral equations

Keywords:

Abel integral equations; Adomian decomposition method
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\textit{L. Bougoffa} et al., Appl. Math. Comput. 218, No. 5, 1785--1793 (2011; Zbl 1252.65207)
Full Text: DOI

References:

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