Numerical solution of systems of Cauchy singular integral equations with constant coefficients
โ Scribed by Maria Carmela De Bonis; Concetta Laurita
- Book ID
- 119186871
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 355 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
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
Galerkin methods are used to approximate the singular integral equation with solution ฯ having weak singularity at the endpoint -1, where a, b = 0 are constants. In this case ฯ is decomposed as ฯ 2ฮฑ -< ยต < 1, the error estimate under maximum norm is proved to be O(n 2ฮฑ--ยต+ ), where = min{ฮฑ, 1 2 }
A numerical technique to determine the singular behavior of the solution of Cauchy singular integral equations (CSIE) with variable coefficients is proposed. The fundamental solution, which is a solution of the corresponding homogeneous equation, is constructed by a quadraturecollocation scheme. Thi