메뉴 건너뛰기




Volumn 56, Issue 8, 2008, Pages 1948-1953

Variational iteration method for solving wave equation

Author keywords

Lagrange multiplier; Variational iteration method; Wave equation

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); OSCILLATORS (MECHANICAL); SOLUTIONS; WAVE EQUATIONS;

EID: 51049089746     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.04.010     Document Type: Article
Times cited : (33)

References (21)
  • 2
    • 0007140364 scopus 로고    scopus 로고
    • A new approach to nonlinear partial differential equations
    • He J.H. A new approach to nonlinear partial differential equations. Commun. Non-linear Sci. Numer. Simul. 2 4 (1997) 230-235
    • (1997) Commun. Non-linear Sci. Numer. Simul. , vol.2 , Issue.4 , pp. 230-235
    • He, J.H.1
  • 3
    • 0006990947 scopus 로고    scopus 로고
    • Variational iteration method for delay differential equations
    • He J.H. Variational iteration method for delay differential equations. Commun. Non-linear Sci. Numer. Simul. 2 4 (1997) 235-236
    • (1997) Commun. Non-linear Sci. Numer. Simul. , vol.2 , Issue.4 , pp. 235-236
    • He, J.H.1
  • 4
    • 51049091706 scopus 로고    scopus 로고
    • J.H. He, Non-linear oscillation with fractional derivative and its approximation, Int. conf. on Vibration Engineering 98, Dalian, China, (1998)
    • J.H. He, Non-linear oscillation with fractional derivative and its approximation, Int. conf. on Vibration Engineering 98, Dalian, China, (1998)
  • 5
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Engrg. 167 (1998) 57-68
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.167 , pp. 57-68
    • He, J.H.1
  • 6
    • 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. Internat. J. Non-Linear Mech. 34 (1999) 699-708
    • (1999) Internat. J. Non-Linear Mech. , vol.34 , pp. 699-708
    • He, J.H.1
  • 7
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Appl. Math. Comput. 114 (2000) 115-123
    • (2000) Appl. Math. Comput. , vol.114 , pp. 115-123
    • He, J.H.1
  • 8
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • Abdou M.A., and Soliman A.A. Variational iteration method for solving Burger's and coupled Burger's equations. J. Comput. Appl. Math. 181 2 (2005) 245-251
    • (2005) J. Comput. Appl. Math. , vol.181 , Issue.2 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 10
    • 0006996396 scopus 로고
    • General use of the Lagrange multiplier in non-linear mathematical physics
    • Nemat-Nasser S. (Ed), Pergamon Press, Oxford
    • Inokuti M., et al. General use of the Lagrange multiplier in non-linear mathematical physics. In: Nemat-Nasser S. (Ed). Variational Method in the Mechanics of Solids (1978), Pergamon Press, Oxford 156-162
    • (1978) Variational Method in the Mechanics of Solids , pp. 156-162
    • Inokuti, M.1
  • 11
    • 0031441505 scopus 로고    scopus 로고
    • Semi-inverse method of establishing generalized principles for fluid mechanics with emphasis on turbomachinery aerodynamics
    • He J.H. Semi-inverse method of establishing generalized principles for fluid mechanics with emphasis on turbomachinery aerodynamics. Int. J. Turbo Jet-Eng. 14 1 (1997) 23-28
    • (1997) Int. J. Turbo Jet-Eng. , vol.14 , Issue.1 , pp. 23-28
    • He, J.H.1
  • 13
    • 0039998109 scopus 로고    scopus 로고
    • Variational iteration method for non-linearity and its applications
    • (in Chinese)
    • He J.H. Variational iteration method for non-linearity and its applications. Mechanics and Practice 20 1 (1998) 30-32 (in Chinese)
    • (1998) Mechanics and Practice , vol.20 , Issue.1 , pp. 30-32
    • He, J.H.1
  • 14
    • 0041185364 scopus 로고    scopus 로고
    • Variational iteration approach to 2-spring system
    • (in Chinese)
    • He J.H. Variational iteration approach to 2-spring system. Mech. Sci. Technol. 17 2 (1998) 221-223 (in Chinese)
    • (1998) Mech. Sci. Technol. , vol.17 , Issue.2 , pp. 221-223
    • He, J.H.1
  • 15
    • 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 Fractals 29 (2006) 313-330
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 313-330
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 16
    • 34247629670 scopus 로고    scopus 로고
    • On the variational iteration method
    • Abdou M.A. On the variational iteration method. Phys. Lett. A 366 (2007) 61
    • (2007) Phys. Lett. A , vol.366 , pp. 61
    • Abdou, M.A.1
  • 17
    • 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 Fractals 32 (2007) 1384-1397
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 1384-1397
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 18
    • 46649111919 scopus 로고    scopus 로고
    • Variational iteration method to solve nonlinear Boltzmann equation
    • Abulwafa E.M., Abdou M.A., and Mahmoud A.A. Variational iteration method to solve nonlinear Boltzmann equation. Z. Nat. Forsch. 63a (2008) 131-139
    • (2008) Z. Nat. Forsch. , vol.63 a , pp. 131-139
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 19
    • 62949138528 scopus 로고    scopus 로고
    • Improved variational iteration method for solving coupled KdV and Boussinesq-like B (m, n) equations
    • 10.1016/j.chaos.2007.05.020
    • El-Wakil S.A., Abulwafa E.M., and Abdou M.A. Improved variational iteration method for solving coupled KdV and Boussinesq-like B (m, n) equations. Chaos Solitons Fractals (2008) 10.1016/j.chaos.2007.05.020
    • (2008) Chaos Solitons Fractals
    • El-Wakil, S.A.1    Abulwafa, E.M.2    Abdou, M.A.3
  • 20
    • 39749149524 scopus 로고    scopus 로고
    • New applications of variational iteration method using Adomian polynomials
    • El-Wakil S.A., and Abdou M.A. New applications of variational iteration method using Adomian polynomials. Int. J. of Nonlinear Dynam. 52 1-2 (2008) 41-49
    • (2008) Int. J. of Nonlinear Dynam. , vol.52 , Issue.1-2 , pp. 41-49
    • El-Wakil, S.A.1    Abdou, M.A.2
  • 21
    • 85126429413 scopus 로고    scopus 로고
    • Variational iteration method for solving non-linear partial differential equations
    • 10.1016/j.chaos.2007. 06.025
    • Hemeda A.A. Variational iteration method for solving non-linear partial differential equations. Chaos Solitons Fractals (2008) 10.1016/j.chaos.2007. 06.025
    • (2008) Chaos Solitons Fractals
    • Hemeda, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.