APPROXIMATE SOLUTION OF THE FIRST-KIND INTEGRAL EQUATION WITH THE MULTIPLICATIVE CAUCHY KERNEL BY THE METHOD OF ORTHOGONAL POLYNOMIALS
Abstract
The computing scheme of numerical solution of the first-kind integral equation with the triple Cauchy kernel in classes of bounded and unbounded functions by the method of orthogonal polynomials is obtained.
About the Author
G. A. Rasolko
Belarusian State University, Minsk
Belarus
References
1. Muskhelishvili N. I. Singulyarnye integral'nye uravneniya. M., 1968.
2. LifanovI. K. // Dokl. AN SSSR. 1979. T. 249, № 6. S. 1306-1309.
3. Sheshko M. A. // Dokl AN BSSR. 1980. T. 24, № 10. S. 888-891.
4. Rasol'ko G. A. // Differents. uravneniya. 1987. 14 s. (Dep. v VINITI 12.03.87, № 1808-V87).
5. Sheshko M. A., Rasol'ko G. A. // Differents. uravneniya. 1989. T. 25, № 5. S. 911-915.
6. Rasol'ko G. A., Sheshko M. A. // Differents. uravneniya. 1991. T. 27, № 6. S. 1092-1097.
7. Beitmen G., Erdeii A. Vysshie transtsendentnye funktsii. M., 1966. T. 2.
8. Pashkovskii S. Vychislitel'nye primeneniya mnogochlenov i ryadov Chebysheva. M., 1983.
9. Sheshko M. A. Singulyarnye integral'nye uravneniya s yadrom Koshi i Gil'berta i ikh priblizhennoe reshenie. Lyublin, 2003.
Views:
741
Email this article 