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A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method. (English) Zbl 1252.65207
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.
65R20Integral equations (numerical methods)
45A05Linear integral equations
45E10Integral equations of the convolution type
45G05Singular nonlinear integral equations
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