Numerical solution of a~singular and a~hypersingular integral equation on an~interval and the~delta function
Sbornik. Mathematics, Tome 193 (2002) no. 10, pp. 1397-1410

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A version of the method of discrete vortices is proposed for the numerical integration of a singular and a hypersingular integral equation of the first kind on an interval in the case when the right-hand side of the equation contains a delta function.
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G. M. Vainikko; N. V. Lebedeva; I. K. Lifanov. Numerical solution of a~singular and a~hypersingular integral equation on an~interval and the~delta function. Sbornik. Mathematics, Tome 193 (2002) no. 10, pp. 1397-1410. http://geodesic.mathdoc.fr/item/SM_2002_193_10_a0/