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A cubature method for solving one class of multidimensional weakly singular integral equations. (English. Russian original) Zbl 1192.65155
Russ. Math. 53, No. 12, 1-10 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 12, 3-13 (2009).
The authors study a cubature method described by B. G. Gabdulkhaev [Izv. Vyssh. Uchebn. Zaved., Mat. 1972, No. 12 (127), 23–39 (1972; Zbl 0283.65070)] for solving one class of multidimensional weakly singular integral equations. In their investigation authors consider one class of two dimensional weakly singular integral equations of the second kind on a circumference. Authors use a special cubature formula for solving these class of multi dimensional weakly singular integral equations.

65R20 Numerical methods for integral equations
65D32 Numerical quadrature and cubature formulas
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
Full Text: DOI
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