메뉴 건너뛰기




Volumn 168, Issue 1, 2005, Pages 102-110

Numerical solution of non-linear Fredholm integral equations by using multiwavelets in the Petrov-Galerkin method

Author keywords

Hammerstein equations; Regular pairs; Test space; The wavelet Petrov Galerkin method; Trial space

Indexed keywords

GALERKIN METHODS; INTEGRAL EQUATIONS; NUMERICAL METHODS; POLYNOMIALS; WAVELET TRANSFORMS;

EID: 25644439799     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.08.047     Document Type: Article
Times cited : (29)

References (12)
  • 1
    • 0001381725 scopus 로고    scopus 로고
    • The Petrov-Galerkin and iterated Petrov-Galerkin methods for second-kind integral equations
    • Z. Chen, and Y. Xu The Petrov-Galerkin and iterated Petrov-Galerkin methods for second-kind integral equations SIAM J. Numer. Anal. 35 l 1998 406 434
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.50 , pp. 406-434
    • Chen, Z.1    Xu, Y.2
  • 2
    • 19044379506 scopus 로고    scopus 로고
    • The Petrov-Galerkin method for solving second kind Fredholm integral equations
    • Shahrood University, Shahrood, Iran, Aug 30-Sep 2
    • K. Maleknejad, M. Karami, The Petrov-Galerkin method for solving second kind Fredholm integral equations, in: 34th Iranian Mathematics Conference, Shahrood University, Shahrood, Iran, Aug 30-Sep 2, 2003.
    • (2003) 34th Iranian Mathematics Conference
    • Maleknejad, K.1    Karami, M.2
  • 3
    • 0000139676 scopus 로고
    • 2 for the sparse representation of integral operators
    • 2 for the sparse representation of integral operators SIAM J. Math. Anal. 24 1993 246 262
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 246-262
    • Alpert, B.K.1
  • 4
    • 21744452540 scopus 로고    scopus 로고
    • The Petrov-Galerkin method for second kind integral equations II: Multiwavelet schemes
    • Z. Chen, C.A. Micchelli, and Y. Xu The Petrov-Galerkin method for second kind integral equations II: multiwavelet schemes Adv. Comput. Math. 7 1997 199 233
    • (1997) Adv. Comput. Math. , vol.7 , pp. 199-233
    • Chen, Z.1    Micchelli, C.A.2    Xu, Y.3
  • 5
  • 6
    • 0242526187 scopus 로고    scopus 로고
    • Numerical solution of linear Fredholm and Volterra integral equations of the second kind by using Legendre wavelet, kybernetes
    • K. Maleknejad, M. Tavassoli Kajani, and Y. Mahmoudi Numerical solution of linear Fredholm and Volterra integral equations of the second kind by using Legendre wavelet, kybernetes Int. J. Sys. Math. 32 9/10 2002 1530 1539
    • (2002) Int. J. Sys. Math. , vol.32 , Issue.910 , pp. 1530-1539
    • Maleknejad, K.1    Tavassoli Kajani, M.2    Mahmoudi, Y.3
  • 7
    • 7544231200 scopus 로고    scopus 로고
    • Solving integro-differential equation by using hybrid Legendre and block-pulse functions
    • K. Maleknejad, and M. Tavassoli Kajani Solving integro-differential equation by using hybrid Legendre and block-pulse functions Int. J. Appl. Math. 11 1 2002 67 76
    • (2002) Int. J. Appl. Math. , vol.11 , Issue.1 , pp. 67-76
    • Maleknejad, K.1    Tavassoli Kajani, M.2
  • 8
    • 0043023487 scopus 로고    scopus 로고
    • Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equation
    • K. Maleknejad, and Y. Mahmoudi Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equation Appl. Math. Comput. (AMC) 145 2003 641 653
    • (2003) Appl. Math. Comput. (AMC) , vol.145 , pp. 641-653
    • Maleknejad, K.1    Mahmoudi, Y.2
  • 9
    • 0345867026 scopus 로고    scopus 로고
    • Numerical solution of linear Fredholm integral equation by using hybrid Taylor and block-pulse function
    • K. Maleknejad, and Y. Mahmoudi Numerical solution of linear Fredholm integral equation by using hybrid Taylor and block-pulse function Appl. Math. Comput. 149 3 2004 799 806
    • (2004) Appl. Math. Comput. , vol.149 , Issue.3 , pp. 799-806
    • Maleknejad, K.1    Mahmoudi, Y.2
  • 10
    • 0042021570 scopus 로고    scopus 로고
    • Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse function
    • K. Maleknejad, and M. Tavassoli Kajani Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse function Appl. Math. Comput. (AMC) 145 2003 623 629
    • (2003) Appl. Math. Comput. (AMC) , vol.145 , pp. 623-629
    • Maleknejad, K.1    Tavassoli Kajani, M.2
  • 11
    • 9644267675 scopus 로고    scopus 로고
    • Numerical solution of linear Fredholm integral equations system by rationalized Haar function method
    • K. Maleknejad, and F. Mirzaee Numerical solution of linear Fredholm integral equations system by rationalized Haar function method Int. J. Comput. Math. (IJCM) 80 11 2003 1397 1405
    • (2003) Int. J. Comput. Math. (IJCM) , vol.80 , Issue.11 , pp. 1397-1405
    • Maleknejad, K.1    Mirzaee, F.2
  • 12
    • 25644445616 scopus 로고    scopus 로고
    • Using rationalized Haar wavelet for solving linear integral equations
    • in press
    • K. Maleknejad, F. Mirzaee, Using rationalized Haar wavelet for solving linear integral equations, Appl. Math. Comput. (AMC), in press.
    • Appl. Math. Comput. (AMC)
    • Maleknejad, K.1    Mirzaee, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.