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Volumn 87, Issue 9, 2010, Pages 2076-2087

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

Author keywords

Cauchy type singular integral equations; exact solution; reproducing kernel

Indexed keywords

A-TRANSFORM; APPROXIMATE SOLUTION; CAUCHY-TYPE SINGULAR INTEGRAL EQUATION; EXACT SOLUTION; NUMERICAL EXPERIMENTS; REPRODUCING KERNEL; REPRODUCING KERNEL METHODS; SECOND KINDS;

EID: 77954900198     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160802600877     Document Type: Article
Times cited : (4)

References (14)
  • 1
    • 0040360289 scopus 로고
    • Singular integral operators and singular quadrature operators associated with singular integral equations of the first kind and their applications
    • J.Y. Du, Singular integral operators and singular quadrature operators associated with singular integral equations of the first kind and their applications, Acta Math. Sci. 15 (1995), pp. 219-234.
    • (1995) Acta Math. Sci. , vol.15 , pp. 219-234
    • Du, J.Y.1
  • 2
    • 0039768244 scopus 로고    scopus 로고
    • Singular integral operators and singular quadrature operators associated with singular integral equations
    • J.Y. Du, Singular integral operators and singular quadrature operators associated with singular integral equations, Acta Math. Sci. 18 (1998), pp. 227-240.
    • (1998) Acta Math. Sci. , vol.18 , pp. 227-240
    • Du, J.Y.1
  • 3
    • 0039927380 scopus 로고    scopus 로고
    • The collocation methods for singular integral equations with Cauchy kernels
    • J.Y. Du, The collocation methods for singular integral equations with Cauchy kernels, Acta Math. Sci. 20 (2000), pp. 289-302.
    • (2000) Acta Math. Sci. , vol.20 , pp. 289-302
    • Du, J.Y.1
  • 4
    • 34248218596 scopus 로고    scopus 로고
    • On direct method of solution for a class of singular integral equations
    • Z.H. Du and J.Y. Du, On direct method of solution for a class of singular integral equations, Acta Math. Sci. 27 (2007), pp. 301-307.
    • (2007) Acta Math. Sci. , vol.27 , pp. 301-307
    • Du, Z.H.1    Du, J.Y.2
  • 5
    • 0000824667 scopus 로고
    • On the numerical solution of singular integral equations
    • F. Erdogan and G.D. Gupta, On the numerical solution of singular integral equations, Q. Appl. Math. 30 (1972), pp. 525-534.
    • (1972) Q. Appl. Math. , vol.30 , pp. 525-534
    • Erdogan, F.1    Gupta, G.D.2
  • 8
    • 36749023918 scopus 로고    scopus 로고
    • A practical method for singular integral equations of the second kind
    • X.Q. Jin, L.M. Keer, and Q.Wang, A practical method for singular integral equations of the second kind, Eng. Frac. Mech. 75 (2008), pp. 1005-1014.
    • (2008) Eng. Frac. Mech. , vol.75 , pp. 1005-1014
    • Jin, X.Q.1    Keer, L.M.2    Wang, Q.3
  • 9
    • 33749516819 scopus 로고    scopus 로고
    • Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel
    • P. Karczmarek, D. Pylak, and M.A. Sheshko, Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel, Appl. Math. Comput. 181 (2006), pp. 694-707.
    • (2006) Appl. Math. Comput. , vol.181 , pp. 694-707
    • Karczmarek, P.1    Pylak, D.2    Sheshko, M.A.3
  • 10
    • 0016566094 scopus 로고
    • On quadrature formulas for singular integral equations of the first kind and the second kind
    • S. Krenk, On quadrature formulas for singular integral equations of the first kind and the second kind, Q. Appl. Math. 33 (1975), pp. 225-232.
    • (1975) Q. Appl. Math. , vol.33 , pp. 225-232
    • Krenk, S.1
  • 11
    • 0039175739 scopus 로고
    • Quadrature formulas of closed type for solution of singular integral equations
    • S. Krenk, Quadrature formulas of closed type for solution of singular integral equations, J. Inst. Maths. Appl. 22 (1978), pp. 99-107.
    • (1978) J. Inst. Maths. Appl. , vol.22 , pp. 99-107
    • Krenk, S.1
  • 12
    • 50149097932 scopus 로고    scopus 로고
    • On the numerical solution of Cauchy singular integral equations in neutron transport
    • N. Mohankumar and A. Natarajan, On the numerical solution of Cauchy singular integral equations in neutron transport, Ann. Nuclear Energy, 35 (2008), pp. 1800-1804.
    • (2008) Ann. Nuclear Energy , vol.35 , pp. 1800-1804
    • Mohankumar, N.1    Natarajan, A.2
  • 14
    • 0017478809 scopus 로고
    • Numerical integration methods for solution of singular integral equations
    • P.S. Theocaris and N.L. Ioakimidis, Numerical integration methods for solution of singular integral equations, Q. Appl. Math. 35 (1977), pp. 173-182.
    • (1977) Q. Appl. Math. , vol.35 , pp. 173-182
    • Theocaris, P.S.1    Ioakimidis, N.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.