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Volumn 60, Issue 3, 2010, Pages 821-829

He's variational iteration method for treating nonlinear singular boundary value problems

Author keywords

He's variational iteration method; Nonlinear singular boundary value problems

Indexed keywords

EXACT SOLUTION; SINGULAR BOUNDARY VALUE PROBLEMS; SOLUTION PROCESS; VARIATIONAL ITERATION METHOD;

EID: 77955413071     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.05.029     Document Type: Article
Times cited : (122)

References (35)
  • 2
    • 27144508403 scopus 로고    scopus 로고
    • Cubic spline for a class of singular two-point boundary value problems
    • A.S.V. Ravi Kanth, and Y.N. Reddy Cubic spline for a class of singular two-point boundary value problems Applied Mathematics and Computation 170 2 2005 733 740
    • (2005) Applied Mathematics and Computation , vol.170 , Issue.2 , pp. 733-740
    • Ravi Kanth, A.S.V.1    Reddy, Y.N.2
  • 3
    • 33847054266 scopus 로고    scopus 로고
    • Theory and computation in singular boundary value problems
    • Kamel Al-Khaled Theory and computation in singular boundary value problems Chaos, Solitons & Fractals 33 2007 678 684
    • (2007) Chaos, Solitons & Fractals , vol.33 , pp. 678-684
    • Al-Khaled, K.1
  • 4
    • 33751540078 scopus 로고    scopus 로고
    • B-spline solution of singular boundary value problems
    • Nazan Caglar, and Hikmet Caglar B -spline solution of singular boundary value problems Applied Mathematics and Computation 182 2 2006 1509 1513
    • (2006) Applied Mathematics and Computation , vol.182 , Issue.2 , pp. 1509-1513
    • Caglar, N.1    Caglar, H.2
  • 5
    • 43049137269 scopus 로고    scopus 로고
    • Approximate solutions of singular two-point BVPs by modified homotopy analysis method
    • A. Sami Bataineh, M.S.M. Noorani, and I. Hashim Approximate solutions of singular two-point BVPs by modified homotopy analysis method Physics Letters A 372 2008 4062 4066
    • (2008) Physics Letters A , vol.372 , pp. 4062-4066
    • Sami Bataineh, A.1    Noorani, M.S.M.2    Hashim, I.3
  • 6
    • 33344475567 scopus 로고    scopus 로고
    • Vishnu Bhattacharya cubic spline for a class of non-linear singular boundary value problems arising in physiology
    • A.S.V. Ravi Kanth Vishnu Bhattacharya cubic spline for a class of non-linear singular boundary value problems arising in physiology Applied Mathematics and Computation 174 1 2006 768 774
    • (2006) Applied Mathematics and Computation , vol.174 , Issue.1 , pp. 768-774
    • Ravi Kanth, A.S.V.1
  • 7
    • 44449088392 scopus 로고    scopus 로고
    • Solution of singular two-point boundary value problems using differential transformation method
    • A.S.V. Ravi Kanth, and K. Aruna Solution of singular two-point boundary value problems using differential transformation method Physics Letters A 372 2008 4671 4673
    • (2008) Physics Letters A , vol.372 , pp. 4671-4673
    • Ravi Kanth, A.S.V.1    Aruna, K.2
  • 9
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration methoda kind of non-linear analytical technique: Some examples
    • J.-H. He Variational iteration methoda kind of non-linear analytical technique: some examples International Journal of Non-Linear Mechanics 34 4 1999 699 708
    • (1999) International Journal of Non-Linear Mechanics , vol.34 , Issue.4 , pp. 699-708
    • He, J.-H.1
  • 11
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration methodsome recent results and new interpretations
    • J.-H. He Variational iteration methodsome recent results and new interpretations Journal of Computational and Applied Mathematics 207 1 2007 3 17
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , Issue.1 , pp. 3-17
    • He, J.-H.1
  • 13
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • J.-H. He Variational iteration method for autonomous ordinary differential systems Applied Mathematics and Computation 114 23 2000 115 123
    • (2000) Applied Mathematics and Computation , vol.114 , Issue.23 , pp. 115-123
    • He, J.-H.1
  • 14
    • 62949130659 scopus 로고    scopus 로고
    • The variational iteration method for fourth order boundary value problems
    • Lan Xu The variational iteration method for fourth order boundary value problems Chaos, Solitons & Fractals 39 3 2009 1386 1394
    • (2009) Chaos, Solitons & Fractals , vol.39 , Issue.3 , pp. 1386-1394
    • Xu, L.1
  • 15
    • 59049085436 scopus 로고    scopus 로고
    • Solutions of singular IVPs of LaneEmden type by the variational iteration method
    • Ahmet Yldrm, and Turgut zi Solutions of singular IVPs of LaneEmden type by the variational iteration method Nonlinear Analysis: Theory, Methods & Applications 70 6 2009 2480 2484
    • (2009) Nonlinear Analysis: Theory, Methods & Applications , vol.70 , Issue.6 , pp. 2480-2484
    • Yldrm, A.1    Zi, T.2
  • 16
    • 34250615490 scopus 로고    scopus 로고
    • A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials
    • S. Abbasbandy A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials Journal of Computational and Applied Mathematics 207 1 2007 59 63
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , Issue.1 , pp. 59-63
    • Abbasbandy, S.1
  • 18
    • 70350564868 scopus 로고    scopus 로고
    • The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics
    • Z. Odibat, and S. Momani The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics Computers & Mathematics with Applications 58 1112 2009 2199 2208
    • (2009) Computers & Mathematics with Applications , vol.58 , Issue.1112 , pp. 2199-2208
    • Odibat, Z.1    Momani, S.2
  • 19
    • 43049099354 scopus 로고    scopus 로고
    • Construction of solitary solutions for nonlinear dispersive equations by variational iteration method
    • Z. Odibat Construction of solitary solutions for nonlinear dispersive equations by variational iteration method Physics Letters A 372 22 2008 4045 4052
    • (2008) Physics Letters A , vol.372 , Issue.22 , pp. 4045-4052
    • Odibat, Z.1
  • 20
    • 70350566604 scopus 로고    scopus 로고
    • Application of He's variational iteration method and Adomian's decomposition method to the fractional KdVBurgersKuramoto equation
    • M. Safari, D.D. Ganji, and M. Moslemi Application of He's variational iteration method and Adomian's decomposition method to the fractional KdVBurgersKuramoto equation Computers & Mathematics with Applications 58 1112 2009 2091 2097
    • (2009) Computers & Mathematics with Applications , vol.58 , Issue.1112 , pp. 2091-2097
    • Safari, M.1    Ganji, D.D.2    Moslemi, M.3
  • 21
    • 70350574643 scopus 로고    scopus 로고
    • Application of the variational iteration method to inverse heat source problems
    • Fazhan Geng, and Yingzhen Lin Application of the variational iteration method to inverse heat source problems Computers & Mathematics with Applications 58 1112 2009 2098 2102
    • (2009) Computers & Mathematics with Applications , vol.58 , Issue.1112 , pp. 2098-2102
    • Geng, F.1    Lin, Y.2
  • 22
    • 70350565477 scopus 로고    scopus 로고
    • A variational approach to nonlinear two-point boundary value problems
    • Shu-Qiang Wang A variational approach to nonlinear two-point boundary value problems Computers & Mathematics with Applications 58 1112 2009 2452 2455
    • (2009) Computers & Mathematics with Applications , vol.58 , Issue.1112 , pp. 24
    • Wang, S.-Q.1
  • 23
    • 34250650895 scopus 로고    scopus 로고
    • Variational iteration method for solving two-point boundary value problems
    • Junfeng Lu Variational iteration method for solving two-point boundary value problems Journal of Computational and Applied Mathematics 207 2007 92 95
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , pp. 92-95
    • Lu, J.1
  • 24
    • 34748905312 scopus 로고    scopus 로고
    • Variational iteration method for solving a nonlinear system of second-order boundary value problems
    • DOI 10.1016/j.camwa.2006.12.060, PII S089812210700301X, Variational Iteration Method for Nonlinear Problems
    • Junfeng Lu Variational iteration method for solving a nonlinear system of second-order boundary value problems Computers & Mathematics with Applications 54 2007 1133 1138 (Pubitemid 47488836)
    • (2007) Computers and Mathematics with Applications , vol.54 , Issue.7-8 , pp. 1133-1138
    • Lu, J.1
  • 26
    • 51049124292 scopus 로고    scopus 로고
    • Convergence of the variational iteration method for solving linear systems of ODEs with constant coefficients
    • D.K. Salkuyeh Convergence of the variational iteration method for solving linear systems of ODEs with constant coefficients Computers & Mathematics with Applications 56 2008 2027 2033
    • (2008) Computers & Mathematics with Applications , vol.56 , pp. 2027-2033
    • Salkuyeh, D.K.1
  • 27
    • 77950188373 scopus 로고    scopus 로고
    • A modified variational iteration method for strongly nonlinear problems
    • N. Herianu, and V. Marinca A modified variational iteration method for strongly nonlinear problems Nonlinear Science Letters A 1 2 2010 183 192
    • (2010) Nonlinear Science Letters A , vol.1 , Issue.2 , pp. 183-192
    • Herianu, N.1    Marinca, V.2
  • 28
    • 74449084990 scopus 로고    scopus 로고
    • The variational iteration method which should be followed
    • J.H. He, Guo-Cheng Wu, and F. Austin The variational iteration method which should be followed Nonlinear Science Letters A 1 2010 1 30
    • (2010) Nonlinear Science Letters A , vol.1 , pp. 1-30
    • He, J.H.1    Wu, G.-C.2    Austin, F.3
  • 29
    • 34748870677 scopus 로고    scopus 로고
    • Variational iteration method: New development and applications
    • J.H. He, and X.H. Wu Variational iteration method: new development and applications Computers & Mathematics with Applications 54 2007 881 894
    • (2007) Computers & Mathematics with Applications , vol.54 , pp. 881-894
    • He, J.H.1    Wu, X.H.2
  • 30
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method: Some recent results and new interpretations
    • J.H. He Variational iteration method: some recent results and new interpretations Journal of Computers and Mathematics with Applications 207 2007 3 17
    • (2007) Journal of Computers and Mathematics with Applications , vol.207 , pp. 3-17
    • He, J.H.1
  • 31
    • 0021774846 scopus 로고
    • Numerical solutions for nonlinear two-point boundary value problems by the integral equation method
    • N. Tosaka, and S. Miyake Numerical solutions for nonlinear two-point boundary value problems by the integral equation method Engineering Analysis 2 1985 31 35
    • (1985) Engineering Analysis , vol.2 , pp. 31-35
    • Tosaka, N.1    Miyake, S.2
  • 32
    • 0018857698 scopus 로고
    • Complementary variational principles for diffusion problems with MichaelisMenten kinetics
    • N. Anderson, and A.M. Arthurs Complementary variational principles for diffusion problems with MichaelisMenten kinetics Bulletin of Mathematical Biology 42 1980 131 135
    • (1980) Bulletin of Mathematical Biology , vol.42 , pp. 131-135
    • Anderson, N.1    Arthurs, A.M.2
  • 33
    • 0017878760 scopus 로고
    • A re-examination of oxygen diffusion in a spherical cell with MichaelisMenten oxygen uptake kinetics
    • D.L.S. McElwain A re-examination of oxygen diffusion in a spherical cell with MichaelisMenten oxygen uptake kinetics Journal of Theoretical Biology 71 1978 255 263
    • (1978) Journal of Theoretical Biology , vol.71 , pp. 255-263
    • McElwain, D.L.S.1
  • 34
    • 0000856337 scopus 로고
    • Rotationally symmetric solutions for shallow membrane caps
    • R.W. Dickey Rotationally symmetric solutions for shallow membrane caps Quarterly of Applied Mathematics XLVII 1989 571 581
    • (1989) Quarterly of Applied Mathematics , vol.47 , pp. 571-581
    • Dickey, R.W.1
  • 35
    • 0009205363 scopus 로고    scopus 로고
    • Nonlinear boundary value problems for shallow membrane caps
    • J.V. Baxley, and Y. Gu Nonlinear boundary value problems for shallow membrane caps Communications in Applied Analysis 3 1999 327 344
    • (1999) Communications in Applied Analysis , vol.3 , pp. 327-344
    • Baxley, J.V.1    Gu, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.