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Volumn 54, Issue 7-8, 2007, Pages 1071-1078

Variational iteration method for solving integral equations

Author keywords

Approximate solution; Exact solution; Integral equation; Nonlinear differential equations; Variational iteration method

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 34748865950     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.12.053     Document Type: Article
Times cited : (79)

References (26)
  • 2
    • 0037089756 scopus 로고    scopus 로고
    • A reliable treatment for mixed Volterra-Fredholm integral equations
    • Wazwaz A.M. A reliable treatment for mixed Volterra-Fredholm integral equations. Applied Mathematics and Computation 127 (2002) 405-414
    • (2002) Applied Mathematics and Computation , vol.127 , pp. 405-414
    • Wazwaz, A.M.1
  • 3
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-a kind of nonlinear analytical technique: some examples
    • He J.H. Variational iteration method-a kind of nonlinear analytical technique: some examples. International Journal of Nonlinear Mechanics 34 4 (1999) 699-708
    • (1999) International Journal of Nonlinear Mechanics , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 5
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 20 10 (2006) 1141-1199
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 7
    • 34748851002 scopus 로고    scopus 로고
    • J.-H. He, Variational iteration method-some recent results and new interpretations, Journal of Computational and Applied Mathematics (in press)
  • 8
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos, Solitons and Fractals 29 1 (2006) 108-113
    • (2006) Chaos, Solitons and Fractals , vol.29 , Issue.1 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 9
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Applied Mathematics and Computation 114 2-3 (2000) 115-123
    • (2000) Applied Mathematics and Computation , vol.114 , Issue.2-3 , pp. 115-123
    • He, J.H.1
  • 10
    • 32644457439 scopus 로고    scopus 로고
    • The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations
    • Bildik N., and Konuralp A. The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations. International Journal of Nonlinear Sciences and Numerical Simulation 7 1 (2006) 65-70
    • (2006) International Journal of Nonlinear Sciences and Numerical Simulation , vol.7 , Issue.1 , pp. 65-70
    • Bildik, N.1    Konuralp, A.2
  • 11
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational iteration method to Helmholtz equation
    • Momani S., and Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos, Solitons and Fractals 27 5 (2006) 1119-1123
    • (2006) Chaos, Solitons and Fractals , vol.27 , Issue.5 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 12
    • 30344464250 scopus 로고    scopus 로고
    • Application of variational iteration method to nonlinear differential equations of fractional order
    • Odibat Z.M., and Momani S. Application of variational iteration method to nonlinear differential equations of fractional order. International Journal of Nonlinear Sciences and Numerical Simulation 7 1 (2006) 27-34
    • (2006) International Journal of Nonlinear Sciences and Numerical Simulation , vol.7 , Issue.1 , pp. 27-34
    • Odibat, Z.M.1    Momani, S.2
  • 13
    • 34748903809 scopus 로고    scopus 로고
    • M. Dehghan, M. Tatari, Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method, Chaos, Solitons and Fractals (in press)
  • 14
    • 34748890207 scopus 로고    scopus 로고
    • Mustafa Inc, Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method, Chaos, Solitons and Fractals (in press)
  • 15
    • 31444443560 scopus 로고    scopus 로고
    • A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations
    • Soliman A.A. A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations. Chaos, Solitons and Fractals 29 2 (2006) 294-302
    • (2006) Chaos, Solitons and Fractals , vol.29 , Issue.2 , pp. 294-302
    • Soliman, A.A.1
  • 16
    • 31444453811 scopus 로고    scopus 로고
    • The solution of nonlinear coagulation problem with mass loss
    • Abulwafa E.M., Abdou M.A., and Mahmoud A.A. The solution of nonlinear coagulation problem with mass loss. Chaos, Solitons and Fractals 29 2 (2006) 313-330
    • (2006) Chaos, Solitons and Fractals , vol.29 , Issue.2 , pp. 313-330
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 17
    • 33947172633 scopus 로고    scopus 로고
    • Variational iteration method for solving generalized Burger-Fisher and Burger equations
    • Moghimi M., and Hejazi F.S.A. Variational iteration method for solving generalized Burger-Fisher and Burger equations. Chaos, Solitons and Fractals 33 5 (2007) 1756-1761
    • (2007) Chaos, Solitons and Fractals , vol.33 , Issue.5 , pp. 1756-1761
    • Moghimi, M.1    Hejazi, F.S.A.2
  • 18
    • 33847215123 scopus 로고    scopus 로고
    • He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation
    • Tatari M., and Dehghan M. He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation. Chaos, Solitons and Fractals 33 2 (2007) 671-677
    • (2007) Chaos, Solitons and Fractals , vol.33 , Issue.2 , pp. 671-677
    • Tatari, M.1    Dehghan, M.2
  • 19
    • 33845454679 scopus 로고    scopus 로고
    • Nonlinear fluid flows in pipe-like domain problem using variational-iteration method
    • Abulwafa E.M., Abdou M.A., and Mahmoud A.A. Nonlinear fluid flows in pipe-like domain problem using variational-iteration method. Chaos, Solitons and Fractals 32 4 (2007) 1384-1397
    • (2007) Chaos, Solitons and Fractals , vol.32 , Issue.4 , pp. 1384-1397
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 20
    • 33748578650 scopus 로고    scopus 로고
    • Variational iteration method for one dimensional nonlinear thermoelasticity
    • Sweilam N.H., and Khader M.M. Variational iteration method for one dimensional nonlinear thermoelasticity. Chaos, Solitons and Fractals 32 1 (2007) 145-149
    • (2007) Chaos, Solitons and Fractals , vol.32 , Issue.1 , pp. 145-149
    • Sweilam, N.H.1    Khader, M.M.2
  • 21
    • 33748425302 scopus 로고    scopus 로고
    • Numerical comparison of methods for solving linear differential equations of fractional order
    • Momani S., and Odibat Z. Numerical comparison of methods for solving linear differential equations of fractional order. Chaos, Solitons and Fractals 31 5 (2007) 1248-1255
    • (2007) Chaos, Solitons and Fractals , vol.31 , Issue.5 , pp. 1248-1255
    • Momani, S.1    Odibat, Z.2
  • 22
    • 34748914900 scopus 로고    scopus 로고
    • A.-M. Wazwaz, The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations, Journal of Computational and Applied Mathematics (in press)
  • 23
    • 34748847161 scopus 로고    scopus 로고
    • S. Momani, Z. Odibat, Numerical approach to differential equations of fractional order, Journal of Computational and Applied Mathematics (in press)
  • 24
    • 34748896282 scopus 로고    scopus 로고
    • A.A. Soliman, M.A. Abdou, Numerical solutions of nonlinear evolution equations using variational iteration method, Journal of Computational and Applied Mathematics (in press)
  • 25
    • 34748820874 scopus 로고    scopus 로고
    • M. Tatari, M. Dehghan, On the convergence of He's variational iteration method, Journal of Computational and Applied Mathematics (in press)
  • 26
    • 34748854009 scopus 로고    scopus 로고
    • N.H. Sweilam, Variational iteration method for solving cubic nonlinear Schrödinger equation, Journal of Computational and Applied Mathematics (in press)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.