Amara, Ammari and Karoui, Abderrazek (2011) Stable methods for solving the standard Abel integral equation by means of orthogonal polynomials. In: Journées d’Analyse Mathématique et Applications (JAMA 2011), 22-24 March 2011, Hammamet, Tunisia.
Abstract
stable methods are based on the use of various families of orthogonal polynomials of the Legendre and Jacobi types. Moreover, they have the advantage to ensure the stability of the solution under a fairly weak condition on the functional spaces to which the data function belongs. Also, we provide some numerical examples that illustrate our proposed methods.
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