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Computers and Mathematics with Applications
Volumn 59, Issue 10, 2010, Pages 3286-3300
On the L∞ convergence of a difference scheme for coupled nonlinear Schrödinger equations
Author keywords

Conservation; Convergence; Difference scheme; Nonlinear Schr dinger equation; Solvability
Indexed keywords

BROUWER FIXED POINT THEOREM; CONSERVATION LAW; DIFFERENCE SCHEME; DIFFERENCE SCHEMES; DIFFERENCE SOLUTIONS; DINGER EQUATION; FINITE DIFFERENCE SCHEME; FINITE-DIFFERENCE SOLUTION; ITERATIVE ALGORITHM; SECOND ORDERS;
EID: 77953128366     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.03.012     Document Type: Article
Times cited : (86)
References (13)
  • 1
    • 0034920816 scopus 로고    scopus 로고
    • Numerical simulation of coupled nonlinear Schrödinger equation
    • Ismail M.S., and Taha T.R. Numerical simulation of coupled nonlinear Schrödinger equation. Math. Comput. Simulation 56 (2001) 547-562
    • (2001) Math. Comput. Simulation , vol.56 , pp. 547-562
    • Ismail, M.S.1    Taha, T.R.2
  • 2
    • 28244501835 scopus 로고    scopus 로고
    • Highly accurate finite difference method for coupled nonlinear Schrödinger equations
    • Ismail M.S., and Alamri S.Z. Highly accurate finite difference method for coupled nonlinear Schrödinger equations. Comput. Math. Appl. 81 (2004) 333-351
    • (2004) Comput. Math. Appl. , vol.81 , pp. 333-351
    • Ismail, M.S.1    Alamri, S.Z.2
  • 3
    • 33847107061 scopus 로고    scopus 로고
    • A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation
    • Ismail M.S., and Taha T.R. A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation. Math. Comput. Simulation 74 (2007) 302-311
    • (2007) Math. Comput. Simulation , vol.74 , pp. 302-311
    • Ismail, M.S.1    Taha, T.R.2
  • 4
    • 37649002354 scopus 로고    scopus 로고
    • On convergence and stability of a numerical scheme of coupled nonlinear Schrödinger equations
    • Reichel B., and Leble S. On convergence and stability of a numerical scheme of coupled nonlinear Schrödinger equations. Comput. Math. Appl. 55 (2008) 745-759
    • (2008) Comput. Math. Appl. , vol.55 , pp. 745-759
    • Reichel, B.1    Leble, S.2
  • 5
    • 37649013887 scopus 로고    scopus 로고
    • Finite difference solution methods for a system of the nonlinear Schrödinger equations
    • Kurtinaitis A., and Ivanauska F. Finite difference solution methods for a system of the nonlinear Schrödinger equations. Nonlinear Anal. Model. Control 9 3 (2004) 247-258
    • (2004) Nonlinear Anal. Model. Control , vol.9 , Issue.3 , pp. 247-258
    • Kurtinaitis, A.1    Ivanauska, F.2
  • 6
    • 4344660059 scopus 로고    scopus 로고
    • Numerical study of the soliton waves of the coupled nonlinear Schrödinger system
    • Sun J.Q., Gu X.Y., and Ma Z.Q. Numerical study of the soliton waves of the coupled nonlinear Schrödinger system. Physica D 196 (2004) 311-328
    • (2004) Physica D , vol.196 , pp. 311-328
    • Sun, J.Q.1    Gu, X.Y.2    Ma, Z.Q.3
  • 7
    • 41949085035 scopus 로고    scopus 로고
    • Numerical approximation for a coupled Schrödinger system
    • Wang T.C., Zhang L.M., and Chen F.Q. Numerical approximation for a coupled Schrödinger system. Chinese J. Comput. Phys. 25 (2008) 179-185
    • (2008) Chinese J. Comput. Phys. , vol.25 , pp. 179-185
    • Wang, T.C.1    Zhang, L.M.2    Chen, F.Q.3
  • 8
    • 67949117124 scopus 로고    scopus 로고
    • Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system
    • Wang T.C., Nie T., and Zhang L.M. Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system. J. Comput. Appl. Math. 231 2 (2009) 745-759
    • (2009) J. Comput. Appl. Math. , vol.231 , Issue.2 , pp. 745-759
    • Wang, T.C.1    Nie, T.2    Zhang, L.M.3
  • 9
    • 77953140210 scopus 로고    scopus 로고
    • Numerical methods for a coupled nonlinear Schrödinger system
    • Sepúlveda M., and Vera O. Numerical methods for a coupled nonlinear Schrödinger system. Bol. Soc. Esp. Mat. Apl. 43 (2008) 95-102
    • (2008) Bol. Soc. Esp. Mat. Apl. , vol.43 , pp. 95-102
    • Sepúlveda, M.1    Vera, O.2
  • 11
    • 21344479280 scopus 로고
    • Finite difference discretization of the cubic Schrödinger equation
    • Akrivis G.D. Finite difference discretization of the cubic Schrödinger equation. IMA J. Numer. Anal. 13 (1993) 115-124
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 115-124
    • Akrivis, G.D.1
  • 12
    • 0040709337 scopus 로고    scopus 로고
    • On Tsertsvadze's difference scheme for the Kuramoto-Tsuzuki equation
    • Sun Z.Z., and Zhu Q.D. On Tsertsvadze's difference scheme for the Kuramoto-Tsuzuki equation. J. Comput. Appl. Math. 98 2 (1998) 289-304
    • (1998) J. Comput. Appl. Math. , vol.98 , Issue.2 , pp. 289-304
    • Sun, Z.Z.1    Zhu, Q.D.2
  • 13
    • 73449143894 scopus 로고    scopus 로고
    • Maximum error bounds of ADI and compact ADI methods for solving parabolic equations
    • Liao H.L., and Sun Z.Z. Maximum error bounds of ADI and compact ADI methods for solving parabolic equations. Numer. Methods Partial Differential Equations 26 1 (2010) 37-60
    • (2010) Numer. Methods Partial Differential Equations , vol.26 , Issue.1 , pp. 37-60
    • Liao, H.L.1    Sun, Z.Z.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.