Numerical evaluation for Cauchy type singular integrals on the interval.

• المؤلفون الرئيسيون: Eshkuvatov, Zainiddin K., Nik Long, Nik Mohd Asri, Mahiub, Mohammad Abdulkawi
• التنسيق: مقال
• اللغة: English; English
• منشور في: Elsevier 2010
• الوصول للمادة أونلاين: http://psasir.upm.edu.my/id/eprint/15857/1/Numerical%20evaluation%20for%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf; http://psasir.upm.edu.my/id/eprint/15857/
• المؤسسة: Universiti Putra Malaysia

The singular integral (SI) with the Cauchy kernel is considered. New quadrature formulas (QFs) based on the modification of discrete vortex method to approximate SI are constructed. Convergence of QFs and error bounds are shown in the classes of functions Hα([−1,1])Hα([−1,1]) and C1([−1,1])C1([−1,1]...