메뉴 건너뛰기




Volumn 39, Issue 3, 2009, Pages 1386-1394

The variational iteration method for fourth order boundary value problems

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; NUMERICAL METHODS;

EID: 62949130659     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.06.013     Document Type: Article
Times cited : (36)

References (20)
  • 1
    • 22944466379 scopus 로고    scopus 로고
    • Approximate analytical solution of fourth order boundary value problems
    • Waleed A.-H., and Luis C. Approximate analytical solution of fourth order boundary value problems. Numer Algorithms 40 (2005) 67-78
    • (2005) Numer Algorithms , vol.40 , pp. 67-78
    • Waleed, A.-H.1    Luis, C.2
  • 2
    • 34248188092 scopus 로고    scopus 로고
    • Comparing numerical methods for solving fourth-order boundary value problems
    • Vedat Suat E., and Shaher M. Comparing numerical methods for solving fourth-order boundary value problems. Appl Math Comput 188 2 (2007) 1963-1968
    • (2007) Appl Math Comput , vol.188 , Issue.2 , pp. 1963-1968
    • Vedat Suat, E.1    Shaher, M.2
  • 3
    • 30644460357 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving boundary value problems
    • He J.H. Homotopy perturbation method for solving boundary value problems. Phys Lett A 350 (2006) 87-88
    • (2006) Phys Lett A , vol.350 , pp. 87-88
    • He, J.H.1
  • 4
    • 33746584753 scopus 로고    scopus 로고
    • New interpretation of homotopy perturbation method
    • He J.H. New interpretation of homotopy perturbation method. Int J Mod Phys B 20 18 (2006) 2561-2568
    • (2006) Int J Mod Phys B , vol.20 , Issue.18 , pp. 2561-2568
    • He, J.H.1
  • 5
    • 33748924289 scopus 로고    scopus 로고
    • Homotopy perturbation method and axisymmetric flow over a stretching sheet
    • Ariel P.D., Hayat T., and Asghar S. Homotopy perturbation method and axisymmetric flow over a stretching sheet. Int J Nonlinear Sci Numer Simul 7 (2006) 399-406
    • (2006) Int J Nonlinear Sci Numer Simul , vol.7 , pp. 399-406
    • Ariel, P.D.1    Hayat, T.2    Asghar, S.3
  • 6
    • 32644462966 scopus 로고    scopus 로고
    • Thin film flow of a third grade fluid on a moving belt by He's homotopy perturbation method
    • Siddiqui A.M., Mahmood R., and Ghori Q.K. Thin film flow of a third grade fluid on a moving belt by He's homotopy perturbation method. Int J Nonlinear Sci Numer Simul 7 1 (2006) 7-14
    • (2006) Int J Nonlinear Sci Numer Simul , vol.7 , Issue.1 , pp. 7-14
    • Siddiqui, A.M.1    Mahmood, R.2    Ghori, Q.K.3
  • 7
    • 33748919061 scopus 로고    scopus 로고
    • Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations
    • Ganji D.D., and Sadighi A. Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations. Int J Nonlinear Sci Numer Simul 7 4 (2006) 411-418
    • (2006) Int J Nonlinear Sci Numer Simul , vol.7 , Issue.4 , pp. 411-418
    • Ganji, D.D.1    Sadighi, A.2
  • 8
    • 34249910643 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to squeezing flow of a Newtonian fluid
    • Ghori Q.K., Ahmed M., and Siddiqui A.M. Application of homotopy perturbation method to squeezing flow of a Newtonian fluid. Int J Nonlinear Sci Numer Simul 8 2 (2007) 179-184
    • (2007) Int J Nonlinear Sci Numer Simul , vol.8 , Issue.2 , pp. 179-184
    • Ghori, Q.K.1    Ahmed, M.2    Siddiqui, A.M.3
  • 9
    • 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 Soliton Fract 32 (2007) 145-149
    • (2007) Chaos Soliton Fract , vol.32 , pp. 145-149
    • Sweilam, N.H.1    Khader, M.M.2
  • 10
    • 34249893388 scopus 로고    scopus 로고
    • Approximate solutions of K (2,2), KdV and modified KdV equations by variational iteration method. Homotopy perturbation method and homotopy analysis method
    • Tari H., Ganji D.D., and Rostamian M. Approximate solutions of K (2,2), KdV and modified KdV equations by variational iteration method. Homotopy perturbation method and homotopy analysis method. Int J Nonlinear Sci Numer Simul 8 2 (2007) 203-210
    • (2007) Int J Nonlinear Sci Numer Simul , vol.8 , Issue.2 , pp. 203-210
    • Tari, H.1    Ganji, D.D.2    Rostamian, M.3
  • 11
    • 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 Soliton Fract 31 (2007) 1248-1255
    • (2007) Chaos Soliton Fract , vol.31 , pp. 1248-1255
    • Momani, S.1    Odibat, Z.2
  • 12
    • 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 Soliton Fract 27 (2006) 1119-1123
    • (2006) Chaos Soliton Fract , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 13
    • 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. Int J Nonlinear Sci Numer Simul 7 (2006) 27-34
    • (2006) Int J Nonlinear Sci Numer Simul , vol.7 , pp. 27-34
    • Odibat, Z.M.1    Momani, S.2
  • 14
    • 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. Int J Nonlinear Sci Numer Simul 7 (2006) 65-70
    • (2006) Int J Nonlinear Sci Numer Simul , vol.7 , pp. 65-70
    • Bildik, N.1    Konuralp, A.2
  • 15
    • 34249883978 scopus 로고    scopus 로고
    • Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations
    • Yusufoglu E. Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations. Int J Nonlinear Sci Numer Simul 8 2 (2007) 152-158
    • (2007) Int J Nonlinear Sci Numer Simul , vol.8 , Issue.2 , pp. 152-158
    • Yusufoglu, E.1
  • 16
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Int J Mod Phys B 20 10 (2006) 1141-1199
    • (2006) Int J Mod Phys B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 17
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - a kind of non-linear analytical technique: some examples
    • He J.H. Variational iteration method - a kind of non-linear analytical technique: some examples. Int J Nonlinear Mech 34 4 (1999) 699-708
    • (1999) Int J Nonlinear Mech , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 18
    • 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 Soliton Fract 29 (2006) 108-113
    • (2006) Chaos Soliton Fract , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 20
    • 22944440739 scopus 로고
    • Computation of solutions of nonlinear boundary value problems
    • Choudury G., and Korman P. Computation of solutions of nonlinear boundary value problems. Comput Math Appl 22 8 (1991) 49-55
    • (1991) Comput Math Appl , vol.22 , Issue.8 , pp. 49-55
    • Choudury, G.1    Korman, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.