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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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/

[1] Koening D. G., Falarski M. D., Aerodynamic characteristics of a large-scale model with a swept and augmented jet flap, NASA TM X 62029, 1971

[2] Bushuev V. I., Lifanov I. K., “Chislennoe reshenie singulyarnykh integralnykh uravnenii v klasse singulyarnykh funktsii i zadacha otsosa potoka v aerodinamike”, ZhVM i MF, 1986, no. 10, 1572–1577 | MR | Zbl

[3] Belotserkovsky S. M., Lifanov I. K., Metod of discrete vortices, CRC Press, 1993 | MR

[4] Lifanov I. K., Metod singulyarnykh integralnykh uravnenii i chislennyi eksperiment, TOO “Yanus”, M., 1995 | MR | Zbl

[5] Gulyaev V. V., Lifanov I. K., Misko V. A., “Mathematical model of the flow around airfoil with high-lift devices”, Russian J. Numer. Anal. Math. Modelling, 11:2 (1996), 155–166 | MR

[6] Vainikko G. M., Lifanov I. K., “Modelirovanie zadach aerodinamiki i difraktsii voln i rasshirenie integralnykh operatorov tipa Koshi na zamknutykh i razomknutykh krivykh”, Differents. uravneniya, 36:9 (2000), 1184–1195 | MR | Zbl

[7] Belotserkovskii S. M., Lifanov I. K., Chislennye metody v singulyarnykh integralnykh uravneniyakh, Nauka, M., 1985 | MR | Zbl

[8] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968 | MR | Zbl

[9] Anfinogenov A. Yu., Lifanov I. K., Lifanov P. I., “O nekotorykh odnomernykh i dvumernykh integralnykh uravneniyakh”, Matem. sb., 192:8 (2001), 3–46 | MR | Zbl