New quadrature formulas (QFs) for evaluating the singular integral (SI) of Cauchy type with unbounded weight function on the edges is constructed. The construction of the QFs is based on the modification of discrete vortices method (MMDV) and linear spline interpolation over the finite interval [-1,
Stability of the weight properties of functions with respect to a singular Cauchy integral
โ Scribed by I. B. Simonenko
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1983
- Tongue
- English
- Weight
- 341 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0001-4346
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๐ SIMILAR VOLUMES
The present study investigates a numerical algorithm for solving systems of Cauchy singular integral equations of the second kind such as those which often occur in the analysis of interface crack problems. The algorithm takes advantage of many standard subroutines tbr performing numerical integrati
Singular lntegral equations with a Cauchy type kernel and a logarithmic weight function can be solved numerically by integrating them by a Gauss-type quadrature rule and, further, by reducing the resulting equation to a linear system by applying this equation at an appropriate number of collocation