메뉴 건너뛰기




Volumn 169, Issue 1, 2005, Pages 355-365

Solving the Klein-Gordon equation by means of the homotopy analysis method

Author keywords

Analytic solution; Homotopy analysis method; Klein Gordon equation; Phase speed; Travelling waves

Indexed keywords

NUMERICAL ANALYSIS;

EID: 27144505139     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.09.056     Document Type: Article
Times cited : (17)

References (15)
  • 2
    • 0030584546 scopus 로고    scopus 로고
    • A decomposition method for solving the nonlinear Klein-Gordon equation
    • E.Y. Deeba, and S.A. Khuri A decomposition method for solving the nonlinear Klein-Gordon equation J. Comput. Phys. 124 1996 442 448
    • (1996) J. Comput. Phys. , vol.124 , pp. 442-448
    • Deeba, E.Y.1    Khuri, S.A.2
  • 3
    • 0042039242 scopus 로고    scopus 로고
    • 4 equation and nonlinear Klein-Gordon equation in 1 + 1
    • 4 equation and nonlinear Klein-Gordon equation in 1 + 1 Chaos Solitons Fract. 7 1996 365 369
    • (1996) Chaos Solitons Fract. , vol.7 , pp. 365-369
    • Narita, K.1
  • 4
    • 0346057258 scopus 로고    scopus 로고
    • Nonresonant interacting waves for the nonlinear Klein-Gordon equation in three-dimensional space
    • A. Maccari Nonresonant interacting waves for the nonlinear Klein-Gordon equation in three-dimensional space Physica D 135 2000 331 344
    • (2000) Physica D , vol.135 , pp. 331-344
    • MacCari, A.1
  • 5
    • 0037410872 scopus 로고    scopus 로고
    • Solitons trapping for the nonlinear Klein-Gordon equation with an external excitation
    • A. Maccari Solitons trapping for the nonlinear Klein-Gordon equation with an external excitation Chaos Solitons Fract. 17 2003 145 154
    • (2003) Chaos Solitons Fract. , vol.17 , pp. 145-154
    • MacCari, A.1
  • 7
    • 0032640240 scopus 로고    scopus 로고
    • A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate
    • S.J. Liao A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate J. Fluid Mech. 385 1999 101 128
    • (1999) J. Fluid Mech. , vol.385 , pp. 101-128
    • Liao, S.J.1
  • 8
    • 0037170485 scopus 로고    scopus 로고
    • Analytic solutions of the temperature distribution in Blasius viscous flow problems
    • S.J. Liao, and A. Campo Analytic solutions of the temperature distribution in Blasius viscous flow problems J. Fluid Mech. 453 2002 411 425
    • (2002) J. Fluid Mech. , vol.453 , pp. 411-425
    • Liao, S.J.1    Campo, A.2
  • 9
    • 0141961626 scopus 로고    scopus 로고
    • On the homotopy analysis method for nonlinear problems
    • S.J. Liao On the homotopy analysis method for nonlinear problems Appl. Math. Comput. 147 2 2004 499 513
    • (2004) Appl. Math. Comput. , vol.147 , Issue.2 , pp. 499-513
    • Liao, S.J.1
  • 10
    • 0042354097 scopus 로고    scopus 로고
    • On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
    • S.J. Liao On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet J. Fluid Mech. 488 2003 189 212
    • (2003) J. Fluid Mech. , vol.488 , pp. 189-212
    • Liao, S.J.1
  • 11
    • 4744362867 scopus 로고    scopus 로고
    • An explicit analytic solution for free convection about a vertical flat plate embedded in a porous medium by means of homotopy analysis method
    • H. Xu An explicit analytic solution for free convection about a vertical flat plate embedded in a porous medium by means of homotopy analysis method Appl. Math. Comput. 158 2004 433 443
    • (2004) Appl. Math. Comput. , vol.158 , pp. 433-443
    • Xu, H.1
  • 12
    • 0041764457 scopus 로고    scopus 로고
    • Exact flow of a third grade fluid past a porous plate using homotopy analysis method
    • M. Ayub, A. Rasheed, and T. Hayat Exact flow of a third grade fluid past a porous plate using homotopy analysis method Int. J. Engng. Sci. 41 2003
    • (2003) Int. J. Engng. Sci. , vol.41
    • Ayub, M.1    Rasheed, A.2    Hayat, T.3
  • 13
    • 0141559127 scopus 로고    scopus 로고
    • An explicit solution for the combined heat and mass transfer by natural convection from a vertical wall in a non-Darcy porous medium
    • C. Wang, Shijun, Liao, and Jimao Zhu An explicit solution for the combined heat and mass transfer by natural convection from a vertical wall in a non-Darcy porous medium Int. J. Heat Mass Transfer 46 2003 4813 4822
    • (2003) Int. J. Heat Mass Transfer , vol.46 , pp. 4813-4822
    • Wang, C.1    Shijun2    Liao3    Zhu, J.4
  • 14
    • 0037408784 scopus 로고    scopus 로고
    • On the explicit analytic solution of Cheng-Chang equation
    • C. Wang, J.M. Zhu, and S.J. Liao On the explicit analytic solution of Cheng-Chang equation Int. J. Heat Mass Transfer 46 2003 1855 1860
    • (2003) Int. J. Heat Mass Transfer , vol.46 , pp. 1855-1860
    • Wang, C.1    Zhu, J.M.2    Liao, S.J.3
  • 15
    • 0348146384 scopus 로고    scopus 로고
    • An explicit analytic solution for non-Darcy natural convection over horizontal plate with surface mass flux and thermal dispersion effects
    • C. Wang, S.J. Liao, and J.M. Zhu An explicit analytic solution for non-Darcy natural convection over horizontal plate with surface mass flux and thermal dispersion effects Acta Mech. 165 2003 139 150
    • (2003) Acta Mech. , vol.165 , pp. 139-150
    • Wang, C.1    Liao, S.J.2    Zhu, J.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.