Geodesic
On a Hypersingular Equation of a Problem, for a Crack in Elastic Media
Fractional calculus and applied analysis, Tome 13 (2010) no. 1, pp. 1-8

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We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it is easier and more effectively to apply numerical methods than to the initial hypersingular equation.
Keywords: Hypersingular Integrals, Diffraction, Cracks, Fredholm Integral Equations, Singular Integral Equations 
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Gil, Alexey; Samko, Stefan. On a Hypersingular Equation of a Problem, for a Crack in Elastic Media. Fractional calculus and applied analysis, Tome 13 (2010) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/FCAA_2010_13_1_a0/