A quadrature formula for the approximation of Cauchy type singular integrals on the interval
The paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type. The construction of quadrature formula is based on modification of discrete vortex method and interpolation linear spline. The estimations of errors are obtained in the classes of Hα(...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hikari
2007
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12800/1/A%20quadrature%20formula%20for%20the%20approximation%20of%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf http://psasir.upm.edu.my/id/eprint/12800/ http://www.m-hikari.com/ijma/ijma-password-2007/ijma-password5-8-2007/index.html |
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| Summary: | The paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type. The construction of quadrature formula is based on modification of discrete vortex method and interpolation linear spline. The estimations of errors are obtained in the classes of Hα([−1,1],K) andC1([−1,1]). Numerical analysis arealso given. |
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