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Volumn 242, Issue 1, 2013, Pages 53-69

Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials

Author keywords

Best approximation; Legendre polynomials; Operational matrix; Polynomial interpolation; Two dimensional Volterra integral equation

Indexed keywords

BEST APPROXIMATIONS; LEGENDRE POLYNOMIALS; OPERATIONAL MATRICES; POLYNOMIAL INTERPOLATION; VOLTERRA INTEGRAL EQUATIONS;

EID: 84868705456     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2012.10.021     Document Type: Article
Times cited : (114)

References (12)
  • 1
    • 0034349135 scopus 로고    scopus 로고
    • An Euler-type method for two-dimensional Volterra integral equations of the first kind
    • S. Mckee, T. Tang, and T. Diogo An Euler-type method for two-dimensional Volterra integral equations of the first kind IMA J. Numer. Anal. 20 2000 423 440
    • (2000) IMA J. Numer. Anal. , vol.20 , pp. 423-440
    • McKee, S.1    Tang, T.2    Diogo, T.3
  • 2
    • 0023252931 scopus 로고
    • Bounds for the solution of hyperbolic problems
    • H.J. Dobner Bounds for the solution of hyperbolic problems Comput. 38 1987 209 218
    • (1987) Comput. , vol.38 , pp. 209-218
    • Dobner, H.J.1
  • 3
    • 77957368231 scopus 로고    scopus 로고
    • Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
    • E. Babolian, S. Bazm, and P. Lima Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions Commun. Nonl. Sci. Numer. Simul. 16 3 2011 1164 1175
    • (2011) Commun. Nonl. Sci. Numer. Simul. , vol.16 , Issue.3 , pp. 1164-1175
    • Babolian, E.1    Bazm, S.2    Lima, P.3
  • 4
    • 78049429427 scopus 로고    scopus 로고
    • Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations
    • E. Babolian, K. Maleknejad, M. Roodaki, and H. Almasieh Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations Comput. Math. Appl. 60 2010 1711 1722
    • (2010) Comput. Math. Appl. , vol.60 , pp. 1711-1722
    • Babolian, E.1    Maleknejad, K.2    Roodaki, M.3    Almasieh, H.4
  • 6
    • 0002466370 scopus 로고    scopus 로고
    • Extrapolation method of iterated collocation solution for two-dimensional non-linear Volterra integral equation
    • G.Q. Han, K. Hayami, K. Sugihara, and J. Wang Extrapolation method of iterated collocation solution for two-dimensional non-linear Volterra integral equation Appl. Math. Comput. 112 2000 49 61
    • (2000) Appl. Math. Comput. , vol.112 , pp. 49-61
    • Han, G.Q.1    Hayami, K.2    Sugihara, K.3    Wang, J.4
  • 8
    • 0020707935 scopus 로고
    • Shifted Legendre direct method for variational problems
    • R.Y. Chang, and M.L. Wang Shifted Legendre direct method for variational problems J. Optim. Theory. Appl. 39 1983 299 307
    • (1983) J. Optim. Theory. Appl. , vol.39 , pp. 299-307
    • Chang, R.Y.1    Wang, M.L.2
  • 10
    • 0022732064 scopus 로고
    • A direct approach using the shifted Legendre series expansion for near optimum control of linear time-varying systems with multiple state and control delays
    • C. Hwang, and M.Y. Chen A direct approach using the shifted Legendre series expansion for near optimum control of linear time-varying systems with multiple state and control delays Internat. J. Control 43 1986 1673 1692
    • (1986) Internat. J. Control , vol.43 , pp. 1673-1692
    • Hwang, C.1    Chen, M.Y.2
  • 11
    • 0034289836 scopus 로고    scopus 로고
    • On the history of multivariate polynomial interpolation
    • M. Gasca, and T. Sauer On the history of multivariate polynomial interpolation J. Comput. Appl. Math. 122 2000 23 35
    • (2000) J. Comput. Appl. Math. , vol.122 , pp. 23-35
    • Gasca, M.1    Sauer, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.