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Volumn 87, Issue 2, 2010, Pages 310-316

B-polynomial multiwavelets approach for the solution of Abel's integral equation

Author keywords

Abel's integral equations; Bernstein polynomial; Multiwavelets; Volterra integral equations

Indexed keywords

ALGEBRAIC EQUATIONS; BERNSTEIN POLYNOMIAL; MULTI-WAVELETS; MULTIWAVELET; VOLTERRA INTEGRAL EQUATIONS;

EID: 74949108519     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160802036866     Document Type: Article
Times cited : (12)

References (14)
  • 1
    • 1142305190 scopus 로고    scopus 로고
    • A new approach to the numerical solution of weakly singular volterra integral equations
    • P. Baratella and A.P. Orsi, A new approach to the numerical solution of weakly singular volterra integral equations, J. Comput. Appl. Math. 163 (2004), pp. 401-418.
    • (2004) J. Comput. Appl. Math , vol.163 , pp. 401-418
    • Baratella, P.1    Orsi, A.P.2
  • 3
    • 38249014608 scopus 로고
    • Implicitly linear collocation method for nonlinear Volterra equations
    • H. Brunner, Implicitly linear collocation method for nonlinear Volterra equations, J. Appl. Num. Math. 9 (1992), pp. 235-247.
    • (1992) J. Appl. Num. Math , vol.9 , pp. 235-247
    • Brunner, H.1
  • 5
    • 0030196269 scopus 로고    scopus 로고
    • The Haar wavelets operational matrix of integration
    • J.S. Guand W.S. Jiang, The Haar wavelets operational matrix of integration, Int. J. Sys. Sci. 27 (1996), pp. 623-628.
    • (1996) Int. J. Sys. Sci , vol.27 , pp. 623-628
    • Guand, J.S.1    Jiang, W.S.2
  • 6
    • 38248999258 scopus 로고
    • Asymptotic error expansion variation of a collocation method for Volterra-Hammerstein equations
    • H. Guoqiang, Asymptotic error expansion variation of a collocation method for Volterra-Hammerstein equations, J. Appl. Num. Math. 13 (1993), pp. 357-369.
    • (1993) J. Appl. Num. Math , vol.13 , pp. 357-369
    • Guoqiang, H.1
  • 7
    • 34247379940 scopus 로고    scopus 로고
    • Solutions ofdifferential equations in a Bernstein polynomial basis
    • M. Idrees Bhatti and P. Bracken, Solutions ofdifferential equations in a Bernstein polynomial basis, J. Comput. Appl. Math. 205 (2007), pp. 272-280.
    • (2007) J. Comput. Appl. Math , vol.205 , pp. 272-280
    • Idrees Bhatti, M.1    Bracken, P.2
  • 8
    • 84966253976 scopus 로고
    • A new collocation-type method for Hammerstein integral equations
    • S. Kumar and I.H. Sloan, A new collocation-type method for Hammerstein integral equations, J. Math. Comp. 48 (1987), pp. 123-129.
    • (1987) J. Math. Comp , vol.48 , pp. 123-129
    • Kumar, S.1    Sloan, I.H.2
  • 9
    • 0042869934 scopus 로고
    • A variation of Nystrom's method for Hammerstein equations
    • L.J. Lardy, A variation of Nystrom's method for Hammerstein equations, J. Integral Equations 3 (1981), pp. 43-60.
    • (1981) J. Integral Equations , vol.3 , pp. 43-60
    • Lardy, L.J.1
  • 10
    • 0035323556 scopus 로고    scopus 로고
    • TheLegendre wavelets operational matrix of integration
    • M. Razzaghi and S. Yousefi, TheLegendre wavelets operational matrix of integration, Int. J. Syst. Sci. 32 (4) (2001), pp. 495-502.
    • (2001) Int. J. Syst. Sci , vol.32 , Issue.4 , pp. 495-502
    • Razzaghi, M.1    Yousefi, S.2
  • 13
    • 33644901331 scopus 로고    scopus 로고
    • Numerical solution of Abel's integral equation by using Legendre wavelets
    • S.A. Yousefi, Numerical solution of Abel's integral equation by using Legendre wavelets, Appl. Math. Comput. 175 (2006), pp. 574-580.
    • (2006) Appl. Math. Comput , vol.175 , pp. 574-580
    • Yousefi, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.