Rational Transformations for Evaluating Singular Integrals by the Gauss Quadrature Rule
Keyword(s):
In this work we introduce new rational transformations which are available for numerical evaluation of weakly singular integrals and Cauchy principal value integrals. The proposed rational transformations include parameters playing an important role in accelerating the accuracy of the Gauss quadrature rule used for the singular integrals. Results of some selected numerical examples show the efficiency of the proposed transformation method compared with some existing transformation methods.
2001 ◽
Vol 17
(12)
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pp. 881-891
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1996 ◽
Vol 39
(6)
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pp. 1017-1028
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2013 ◽
Vol 250
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pp. 143-160
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2012 ◽
Vol 6
(5)
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pp. 186-195
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2007 ◽
Vol 186
(2)
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pp. 1671-1682
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