Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 87, 2010 - Issue 9
Submit an article Journal homepage
198
Views
3
CrossRef citations to date
0
Altmetric
Section B

A new method for solving Cauchy type singular integral equations of the second kind

Zhong Chen Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong, P. R. ChinaCorrespondence[email protected]
,
CuiHua Wang School of Computer Science and Technology, Harbin Institute of Technology, Weihai, Shandong, P. R. China
&
YongFang Zhou Department of Mathematics, Harbin Institute of Technology, Harbin, Hei Long Jiang, P. R. China; Department of Mathematics and Mechanics, Heilongjiang Institute of Science and Technology, Harbin, Hei Long Jiang, P. R. China
Pages 2076-2087 | Received 13 Jul 2008, Accepted 08 Oct 2008, Published online: 18 Sep 2009

References

  • Du , J. Y. 1995 . Singular integral operators and singular quadrature operators associated with singular integral equations of the first kind and their applications . Acta Math. Sci. , 15 : 219 – 234 .
  • Du , J. Y. 1998 . Singular integral operators and singular quadrature operators associated with singular integral equations . Acta Math. Sci. , 18 : 227 – 240 .
  • Du , J. Y. 2000 . The collocation methods for singular integral equations with Cauchy kernels . Acta Math. Sci. , 20 : 289 – 302 .
  • Du , Z. H. and Du , J. Y. 2007 . On direct method of solution for a class of singular integral equations . Acta Math. Sci. , 27 : 301 – 307 .
  • Erdogan , F. and Gupta , G. D. 1972 . On the numerical solution of singular integral equations . Q. Appl. Math. , 30 : 525 – 534 .
  • Hills , D. A. and Nowell , D. 1993 . Mechanics of Elastic Contacts , Oxford : Butterworth-Heinemann .
  • Hills , D. A. , Kelly , P. A. , Dai , D. N. and Korsunsky , A. M. 1996 . Solution of Crack Problems: The Distributed Dislocation Technique , Dordrecht : Kluwer Academic Publishers .
  • Jin , X. Q. , Keer , L. M. and Wang , Q. 2008 . A practical method for singular integral equations of the second kind . Eng. Frac. Mech. , 75 : 1005 – 1014 .
  • Karczmarek , P. , Pylak , D. and Sheshko , M. A. 2006 . Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel . Appl. Math. Comput. , 181 : 694 – 707 .
  • Krenk , S. 1975 . On quadrature formulas for singular integral equations of the first kind and the second kind . Q. Appl. Math. , 33 : 225 – 232 .
  • Krenk , S. 1978 . Quadrature formulas of closed type for solution of singular integral equations . J. Inst. Maths. Appl. , 22 : 99 – 107 .
  • Mohankumar , N. and Natarajan , A. 2008 . On the numerical solution of Cauchy singular integral equations in neutron transport . Ann. Nuclear Energy, , 35 : 1800 – 1804 .
  • Muskhelishvili , N. I. 1953 . Singular Integral Equations Noordhoff, Groningen
  • Theocaris , P. S. and Ioakimidis , N. L. 1977 . Numerical integration methods for solution of singular integral equations . Q. Appl. Math. , 35 : 173 – 182 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.