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Volumn 21, Issue 5, 2012, Pages 843-852

A neural network approach for solving Fredholm integral equations of the second kind

Author keywords

Activation function; Artificial neural networks; Fredholm integral equations; Multilayer perceptron networks

Indexed keywords

ACTIVATION FUNCTIONS; APPROXIMATE FUNCTION; BERNSTEIN POLYNOMIAL; ERROR FUNCTION; FREDHOLM INTEGRAL EQUATIONS; MULTI-LAYER PERCEPTRON NETWORKS;

EID: 84865627769     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-010-0489-y     Document Type: Article
Times cited : (41)

References (19)
  • 1
    • 0348077450 scopus 로고
    • Cambridge: Cambridge University Press
    • Bôcher M (1914) Integral equations. Cambridge University Press, Cambridge.
    • (1914) Integral Equations
    • Bôcher, M.1
  • 2
    • 0036679717 scopus 로고    scopus 로고
    • Quantum mechanical analysis of the equilateral triangle billiard: periodic orbit theory and wave packet revivals
    • Doncheski MA, Robinett RW (2002) Quantum mechanical analysis of the equilateral triangle billiard: periodic orbit theory and wave packet revivals. Ann Phys 299: 208-227.
    • (2002) Ann. Phys. , vol.299 , pp. 208-227
    • Doncheski, M.A.1    Robinett, R.W.2
  • 3
    • 75149175056 scopus 로고    scopus 로고
    • Artificial neural network approach for solving fuzzy differential equations
    • Effati S, Pakdaman M (2010) Artificial neural network approach for solving fuzzy differential equations. Information Sciences 180: 1434-1457.
    • (2010) Information Sciences , vol.180 , pp. 1434-1457
    • Effati, S.1    Pakdaman, M.2
  • 4
    • 67349190253 scopus 로고    scopus 로고
    • Solving a system of nonlinear integral equations by an RBF network
    • Golbabai A, Seifollahi S (2009) Solving a system of nonlinear integral equations by an RBF network. Comput Math Appl 57: 1651-1658.
    • (2009) Comput Math Appl , vol.57 , pp. 1651-1658
    • Golbabai, A.1    Seifollahi, S.2
  • 5
    • 33751062009 scopus 로고    scopus 로고
    • Numerical solution of the second kind integral equations using radial basis function networks
    • Golbabai A, Seifollahi S (2006) Numerical solution of the second kind integral equations using radial basis function networks. Appl Math Comput 181: 903-907.
    • (2006) Appl Math Comput , vol.181 , pp. 903-907
    • Golbabai, A.1    Seifollahi, S.2
  • 6
    • 33751062009 scopus 로고    scopus 로고
    • An iterative solution for the second kind integral equations using radial basis functions
    • Golbabai A, Seifollahi S (2006) An iterative solution for the second kind integral equations using radial basis functions. Appl Math Comput 181: 903-907.
    • (2006) Appl Math Comput , vol.181 , pp. 903-907
    • Golbabai, A.1    Seifollahi, S.2
  • 7
    • 0028543366 scopus 로고
    • Training feedforward neural network with the Marquardt algorithm
    • Hagan MT, Menhaj MB (1994) Training feedforward neural network with the Marquardt algorithm. IEEE Trans Neural Netw 5(6): 989-993.
    • (1994) IEEE Trans Neural Netw , vol.5 , Issue.6 , pp. 989-993
    • Hagan, M.T.1    Menhaj, M.B.2
  • 9
    • 0024880831 scopus 로고
    • Multi-layer feed forward networks are universal approximators
    • Hornick K, Stinchcombe M, White H (1989) Multi-layer feed forward networks are universal approximators. Neural Networks 2(5): 359-366.
    • (1989) Neural Networks , vol.2 , Issue.5 , pp. 359-366
    • Hornick, K.1    Stinchcombe, M.2    White, H.3
  • 10
    • 84865631289 scopus 로고    scopus 로고
    • Artificial neural networks
    • ver. 2. 1st edn
    • Hristev AM (1998) Artificial neural networks. The GNU Public License, ver. 2. 1st edn.
    • (1998) The GNU Public License
    • Hristev, A.M.1
  • 13
  • 15
    • 0032165970 scopus 로고    scopus 로고
    • Artificial neural networks for solving ordinary and partial differential equations
    • Lagaris IE, Likas A (1998) Artificial neural networks for solving ordinary and partial differential equations, IEEE. Trans Neural Networks 9(5): 987-1000.
    • (1998) IEEE. Trans Neural Networks , vol.9 , Issue.5 , pp. 987-1000
    • Lagaris, I.E.1    Likas, A.2
  • 18
    • 33750955801 scopus 로고    scopus 로고
    • Rationalized Haar functions method for solving Fredholm and Volterra integral equations
    • Reihani MH, Abadi Z (2007) Rationalized Haar functions method for solving Fredholm and Volterra integral equations. J Comp Appl Math 200: 12-20.
    • (2007) J Comp Appl Math , vol.200 , pp. 12-20
    • Reihani, M.H.1    Abadi, Z.2
  • 19
    • 84865660367 scopus 로고    scopus 로고
    • Numerical solutions of fredholm integral equations using bernstein polynomials
    • Shirin A, Islam MS (2010) Numerical solutions of fredholm integral equations using bernstein polynomials. J Sci Res 2(2): 264-272.
    • (2010) J Sci Res , vol.2 , Issue.2 , pp. 264-272
    • Shirin, A.1    Islam, M.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.