메뉴 건너뛰기




Volumn 182, Issue 12, 2011, Pages 2519-2529

A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations

Author keywords

Coupled nonlinear Schr dinger equations (CNLS); Explicit Runge Kutta method of order four; Pseudospectral method; Spectral element method

Indexed keywords

APPLIED MATHEMATICS; CHEBYSHEV; CHEBYSHEV COLLOCATION; COLLOCATION METHOD; CONSERVATION PROPERTIES; DINGER EQUATION; DOMAIN DECOMPOSITION ALGORITHMS; EXPLICIT RUNGE-KUTTA METHODS; MULTI DOMAINS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NUMERICAL EXPERIMENTS; PSEUDOSPECTRAL; PSEUDOSPECTRAL METHODS; SINGLE DOMAINS; SOLITON SOLUTIONS; SPATIAL VARIABLES; SPECTRAL ELEMENT METHOD; STABILITY PROPERTIES; STABILITY RESTRICTION; STEP SIZE; TIME INTEGRATION;

EID: 80052338759     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2011.07.009     Document Type: Article
Times cited : (48)

References (65)
  • 3
    • 67651163723 scopus 로고    scopus 로고
    • Multisymplectic integration of coupled nonlinear Schrödinger system with soliton solutions
    • A. Aydin, and B. Karasozen Multisymplectic integration of coupled nonlinear Schrödinger system with soliton solutions Int. J. Comput. Math. 86 2009 864 882
    • (2009) Int. J. Comput. Math. , vol.86 , pp. 864-882
    • Aydin, A.1    Karasozen, B.2
  • 4
    • 34548321103 scopus 로고    scopus 로고
    • Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions
    • DOI 10.1016/j.cpc.2007.05.010, PII S0010465507002500
    • A. Aydin, and B. Karasozen Symplectic and multisymplectic methods for the coupled nonlinear Schrödinger equations with periodic solutions Comput. Phys. Commun. 177 2007 566 583 (Pubitemid 47347979)
    • (2007) Computer Physics Communications , vol.177 , Issue.7 , pp. 566-583
    • Aydin, A.1    Karasozen, B.2
  • 5
    • 36449006563 scopus 로고
    • Exponential split operator methods for solving coupled time dependent Schrödinger equations
    • A.D. Bandrauk, and H. Shen Exponential split operator methods for solving coupled time dependent Schrödinger equations J. Chem. Phys. 99 1993 1185 1193
    • (1993) J. Chem. Phys. , vol.99 , pp. 1185-1193
    • Bandrauk, A.D.1    Shen, H.2
  • 6
    • 21844495492 scopus 로고
    • Higher-order split-step exponential methods for solving coupled nonlinear Schrödinger equations
    • A.D. Bandrauk, and H. Shen Higher-order split-step exponential methods for solving coupled nonlinear Schrödinger equations J. Phys. A: Math. Gen. 27 1994 7147 7155
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 7147-7155
    • Bandrauk, A.D.1    Shen, H.2
  • 8
    • 0001059932 scopus 로고
    • Self-excitation of waves with different polarizations in nonlinear media
    • A.L. Berkhoer, and V.E. Zakharov Self-excitation of waves with different polarizations in nonlinear media Sov. Phys. JETP 31 1970 486 490
    • (1970) Sov. Phys. JETP , vol.31 , pp. 486-490
    • Berkhoer, A.L.1    Zakharov, V.E.2
  • 10
    • 0022874587 scopus 로고
    • Analysis of Chebyshev collocation method for parabolic equations
    • N. Bressan, and A. Quarteroni Analysis of Chebyshev collocation method for parabolic equations SIAM J. Numer. Anal. 23 1986 1138 1154 (Pubitemid 17480481)
    • (1986) SIAM Journal on Numerical Analysis , vol.23 , Issue.6 , pp. 1138-1154
    • Bressan, N.1    Quarteroni, A.2
  • 12
    • 51249182400 scopus 로고
    • Spectral and pseudospectral methods for parabolic with nonperiodic boundary conditions
    • C. Canuto, and A. Quarteroni Spectral and pseudospectral methods for parabolic with nonperiodic boundary conditions Calcolo-CALCOLO 18 1981 197 217
    • (1981) Calcolo-CALCOLO , vol.18 , pp. 197-217
    • Canuto, C.1    Quarteroni, A.2
  • 13
    • 77953130777 scopus 로고    scopus 로고
    • Multisymplectic splitting method for the coupled nonlinear Schrödinger equation
    • Y. Chen, H. Zhu, and S. Song Multisymplectic splitting method for the coupled nonlinear Schrödinger equation Comput. Phys. Commun. 181 2010 1231 1241
    • (2010) Comput. Phys. Commun. , vol.181 , pp. 1231-1241
    • Chen, Y.1    Zhu, H.2    Song, S.3
  • 14
    • 0036532037 scopus 로고    scopus 로고
    • Symplectic and multisymplectic method for the nonlinear Schrödinger equation
    • J.B. Chen, M.Z. Qin, and Y.F. Tang Symplectic and multisymplectic method for the nonlinear Schrödinger equation Comput. Math. Appl. 43 2002 1095 1106
    • (2002) Comput. Math. Appl. , vol.43 , pp. 1095-1106
    • Chen, J.B.1    Qin, M.Z.2    Tang, Y.F.3
  • 15
    • 0037429741 scopus 로고    scopus 로고
    • Periodic waves for a system of coupled, higher order nonlinear Schrödinger equations with third order dispersion
    • K.W. Chow Periodic waves for a system of coupled, higher order nonlinear Schrödinger equations with third order dispersion Phys. Lett. A 308 2003 426 431
    • (2003) Phys. Lett. A , vol.308 , pp. 426-431
    • Chow, K.W.1
  • 16
    • 32644435892 scopus 로고    scopus 로고
    • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
    • DOI 10.1016/j.matcom.2005.10.001, PII S0378475405002259
    • M. Dehghan Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices Math. Comput. Simul. 71 2006 16 30 (Pubitemid 43243672)
    • (2006) Mathematics and Computers in Simulation , vol.71 , Issue.1 , pp. 16-30
    • Dehghan, M.1
  • 17
    • 33750598923 scopus 로고    scopus 로고
    • Numerical solution of two-dimensional parabolic equation subject to nonstandard boundary specifications using the pseudospectral Legendre method
    • DOI 10.1002/num.20150
    • M. Dehghan, and M. Shamsi Numerical solution of two-dimensional parabolic equation subject to non-standard boundary specifications using the pseudospectral Legendre method Numer. Methods Partial Differential Equations 22 2006 1255 1266 (Pubitemid 44678761)
    • (2006) Numerical Methods for Partial Differential Equations , vol.22 , Issue.6 , pp. 1255-1266
    • Dehghan, M.1    Shamsi, M.2
  • 18
    • 70449631272 scopus 로고    scopus 로고
    • A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
    • M. Dehghan, and A. Taleei A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients Comput. Phys. Commun. 181 2010 43 51
    • (2010) Comput. Phys. Commun. , vol.181 , pp. 43-51
    • Dehghan, M.1    Taleei, A.2
  • 19
    • 77952893917 scopus 로고    scopus 로고
    • Numerical solution of nonlinear Schrödinger equation by using time-space pseudospectral method
    • M. Dehghan, and A. Taleei Numerical solution of nonlinear Schrödinger equation by using time-space pseudospectral method Numer. Methods Partial Differential Equations 26 2010 979 990
    • (2010) Numer. Methods Partial Differential Equations , vol.26 , pp. 979-990
    • Dehghan, M.1    Taleei, A.2
  • 20
    • 57849146059 scopus 로고    scopus 로고
    • Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method
    • M. Dehghan, and D. Mirzaei Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method Int. J. Numer. Meth. Engng. 76 2008 501 520
    • (2008) Int. J. Numer. Meth. Engng. , vol.76 , pp. 501-520
    • Dehghan, M.1    Mirzaei, D.2
  • 21
    • 0141850274 scopus 로고    scopus 로고
    • A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations
    • DOI 10.1016/S0021-9991(03)00300-0
    • F.X. Giraldo, J.B. Perot, and P.F. Fischer A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations J. Comput. Phys. 190 2003 623 650 (Pubitemid 37141669)
    • (2003) Journal of Computational Physics , vol.190 , Issue.2 , pp. 623-650
    • Giraldo, F.X.1    Perot, J.B.2    Fischer, P.F.3
  • 22
    • 84966248629 scopus 로고
    • The stability of pseudospectral Chebyshev methods
    • D. Gottlieb The stability of pseudospectral Chebyshev methods Math. Comput. 36 1981 107 118
    • (1981) Math. Comput. , vol.36 , pp. 107-118
    • Gottlieb, D.1
  • 23
    • 4944236033 scopus 로고
    • Strong convergence estimates for pseudospectral methods
    • W. Heinrichs Strong convergence estimates for pseudospectral methods Appl. Math. 37 1992 401 417
    • (1992) Appl. Math. , vol.37 , pp. 401-417
    • Heinrichs, W.1
  • 24
    • 44349188784 scopus 로고    scopus 로고
    • Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method
    • DOI 10.1016/j.matcom.2007.07.003, PII S0378475407002145
    • M.S. Ismail Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method Math. Comput. Simul. 78 2008 532 547 (Pubitemid 351749768)
    • (2008) Mathematics and Computers in Simulation , vol.78 , Issue.4 , pp. 532-547
    • Ismail, M.S.1
  • 25
    • 33847107061 scopus 로고    scopus 로고
    • A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation
    • DOI 10.1016/j.matcom.2006.10.020, PII S0378475406002461, Nonlinear Waves: Computation and Theory VI
    • M.S. Ismail, and T.R. Taha A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation Math. Comput. Simul. 74 2007 302 311 (Pubitemid 46283647)
    • (2007) Mathematics and Computers in Simulation , vol.74 , Issue.4-5 , pp. 302-311
    • Ismail, M.S.1    Taha, T.R.2
  • 26
    • 0034920816 scopus 로고    scopus 로고
    • Numerical simulation of coupled nonlinear Schrödinger equation
    • DOI 10.1016/S0378-4754(01)00324-X, PII S037847540100324X
    • M.S. Ismail, and T.R. Taha Numerical simulation of coupled nonlinear Schrödinger equation Math. Comput. Simul. 56 2001 547 562 (Pubitemid 32663844)
    • (2001) Mathematics and Computers in Simulation , vol.56 , Issue.6 , pp. 547-562
    • Ismail, M.S.1    Taha, T.R.2
  • 27
    • 38049089855 scopus 로고    scopus 로고
    • A fourth order explicit scheme for the coupled nonlinear Schrödinger equation
    • M.S. Ismail A fourth order explicit scheme for the coupled nonlinear Schrödinger equation Appl. Math. Comput. 196 2008 273 284
    • (2008) Appl. Math. Comput. , vol.196 , pp. 273-284
    • Ismail, M.S.1
  • 29
    • 0001647665 scopus 로고    scopus 로고
    • Observation of Manakov spatial solitons in AlGaAs Planar Waveguides
    • J.U. Kang, G.I. Stegeman, J.S. Aitchison, and N.N. Akhmediev Observation of Manakov spatial solitons in ALGaAs planar waveguides Phys. Rev. Lett. 76 1996 3699 3702 (Pubitemid 126630634)
    • (1996) Physical Review Letters , vol.76 , Issue.20 , pp. 3699-3702
    • Kang, J.U.1    Stegeman, G.I.2    Aitchison, J.S.3    Akhmediev, N.4
  • 30
    • 36749001665 scopus 로고    scopus 로고
    • Mode interaction in few-mode optical fibres with Kerr effect
    • DOI 10.1080/09500340701244069, PII 778054771
    • S.B. Leble, and B. Reichel Mode interaction in few-mode optical fibers with Kerr effect J. Mod. Opt. 55 2008 1 11 (Pubitemid 350208753)
    • (2008) Journal of Modern Optics , vol.55 , Issue.1 , pp. 1-11
    • Leble, S.1    Reichel, B.2
  • 31
    • 67650863152 scopus 로고    scopus 로고
    • Coupled nonlinear Schrödinger equations in optical fibers theory: From general aspects to solitonic ones
    • S.B. Leble, and B. Reichel Coupled nonlinear Schrödinger equations in optical fibers theory: From general aspects to solitonic ones Eur. Phys. J. Special Topics 173 2009 5 55
    • (2009) Eur. Phys. J. Special Topics , vol.173 , pp. 5-55
    • Leble, S.B.1    Reichel, B.2
  • 32
    • 0000763166 scopus 로고
    • On the theory of two-dimensional stationary self-focusing of electromagnetic waves
    • S.V. Manakov On the theory of two-dimensional stationary self-focusing of electromagnetic waves Sov. Phys. JETP 38 1974 248 253
    • (1974) Sov. Phys. JETP , vol.38 , pp. 248-253
    • Manakov, S.V.1
  • 33
    • 0027590117 scopus 로고
    • A comparison of differential quadrature methods for the solution of partial differential equations
    • G. Mansell, W. Merryfield, B. Shizgal, and U. Weinert A comparison of differential quadrature methods for the solution of partial differential equations Comput. Methods Appl. Mech. Engrg. 104 1993 295 316
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.104 , pp. 295-316
    • Mansell, G.1    Merryfield, W.2    Shizgal, B.3    Weinert, U.4
  • 36
    • 33646192333 scopus 로고    scopus 로고
    • A pseudospectral method of solution of Fisher's equation
    • D. Olmos, and B.D. Shizgal A pseudospectral method of solution of Fisher's equation J. Comput. Appl. Math. 193 2006 219 242
    • (2006) J. Comput. Appl. Math. , vol.193 , pp. 219-242
    • Olmos, D.1    Shizgal, B.D.2
  • 38
    • 33745868758 scopus 로고    scopus 로고
    • Cnoidal and solitary wave solutions of the coupled higher order nonlinear Schrödinger equation in nonlinear optics
    • DOI 10.1016/j.chaos.2005.09.044, PII S0960077905009082
    • K. Porsezian, and B. Kalithasan Cnoidal and solitary wave solutions of the coupled higher order nonlinear Schrödinger equations in nonlinear optics Chaos Solitons Fractals 31 2007 188 196 (Pubitemid 44038554)
    • (2007) Chaos, Solitons and Fractals , vol.31 , Issue.1 , pp. 188-196
    • Porsezian, K.1    Kalithasan, B.2
  • 40
    • 37649002354 scopus 로고    scopus 로고
    • On convergence and stability of a numerical scheme of coupled nonlinear Schrödinger equations
    • B. Reichel, and S. Leble 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
  • 41
    • 0000530444 scopus 로고
    • Global properties of pseudospectral methods
    • A. Solomonoff, and E. Turkel Global properties of pseudospectral methods J. Comput. Phys. 81 1989 234 276
    • (1989) J. Comput. Phys. , vol.81 , pp. 234-276
    • Solomonoff, A.1    Turkel, E.2
  • 43
    • 78449254102 scopus 로고    scopus 로고
    • A compact split step Pade scheme for higher-order nonlinear Schrödinger equation (HNLS) with power law nonlinearity and fourth order dispersion
    • M. Smadi, and D. Bahloul A compact split step Pade scheme for higher-order nonlinear Schrödinger equation (HNLS) with power law nonlinearity and fourth order dispersion Comput. Phys. Commun. 182 2011 366 371
    • (2011) Comput. Phys. Commun. , vol.182 , pp. 366-371
    • Smadi, M.1    Bahloul, D.2
  • 44
    • 23144432839 scopus 로고    scopus 로고
    • Strong coupling of Schrödinger equations: Conservative scheme approach
    • DOI 10.1016/j.matcom.2005.03.016, PII S0378475405001011, Nonlinear Waves: Computation and Theory IV
    • W.J. Sonnier, and C.I. Christov Strong coupling of Schrödinger equations: Conservative scheme approach Math. Comput. Simul. 69 2005 514 525 (Pubitemid 41084731)
    • (2005) Mathematics and Computers in Simulation , vol.69 , Issue.5-6 , pp. 514-525
    • Sonnier, W.J.1    Christov, C.I.2
  • 45
    • 4344660059 scopus 로고    scopus 로고
    • Numerical study of the soliton waves of the coupled nonlinear Schrödinger system
    • J.Q. Sun, X.Y. Gu, and Z.Q. Ma 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
  • 46
    • 0142216144 scopus 로고    scopus 로고
    • Multisymplectic methods for the coupled 1D nonlinear Schrödinger system
    • J.Q. Sun, and M.Z. Qin Multisymplectic methods for the coupled 1D nonlinear Schrödinger system Comput. Phys. Commun. 155 2003 221 235
    • (2003) Comput. Phys. Commun. , vol.155 , pp. 221-235
    • Sun, J.Q.1    Qin, M.Z.2
  • 47
    • 34748925811 scopus 로고    scopus 로고
    • Variational iteration method for coupled nonlinear Schrödinger equations
    • DOI 10.1016/j.camwa.2006.12.068, PII S089812210700260X, Variational Iteration Method for Nonlinear Problems
    • N.H. Sweilam, and R.F. Al-Bar Variational iteration method for coupled nonlinear Schrödinger equations Comput. Math. Appl. 54 2007 993 999 (Pubitemid 47488813)
    • (2007) Computers and Mathematics with Applications , vol.54 , Issue.7-8 , pp. 993-999
    • Sweilam, N.H.1    Al-Bar, R.F.2
  • 48
    • 17444407059 scopus 로고    scopus 로고
    • Parallel split-step fourier methods for the coupled nonlinear s̈dinger type equations
    • DOI 10.1007/s11227-005-0183-5
    • T.R. Taha, and X. Xu Parallel split-step Fourier methods for the coupled nonlinear Schrödinger type equations J. Supercomputing. 32 2005 5 23 (Pubitemid 40536319)
    • (2005) Journal of Supercomputing , vol.32 , Issue.1 , pp. 5-23
    • Taha, T.R.1    Xu, X.2
  • 49
    • 3142686141 scopus 로고    scopus 로고
    • The evolution of periodic waves of the coupled nonlinear Schrödinger equations
    • S.C. Tsang, and K.W. Chow The evolution of periodic waves of the coupled nonlinear Schrödinger equations Math. Comput. Simul. 66 2004 551 564
    • (2004) Math. Comput. Simul. , vol.66 , pp. 551-564
    • Tsang, S.C.1    Chow, K.W.2
  • 50
    • 0033582894 scopus 로고    scopus 로고
    • Integrable semi-discretization of the coupled nonlinear Schrödinger equations
    • T. Tsuchida, H. Ujino, and M. Wadati Integrable semi-discretization of the coupled nonlinear Schrödinger equations J. Phys. A: Math. Gen. 32 1999 2239 2262
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 2239-2262
    • Tsuchida, T.1    Ujino, H.2    Wadati, M.3
  • 51
    • 33645078643 scopus 로고    scopus 로고
    • Soliton solutions of coupled in homogeneous nonlinear Schrödinger equation in plasma
    • A. Uthayakumar, Y.G. Han, and S.B. Lee Soliton solutions of coupled in homogeneous nonlinear Schrödinger equation in plasma Chaos Solitons Fractals 29 2006 916 919
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 916-919
    • Uthayakumar, A.1    Han, Y.G.2    Lee, S.B.3
  • 52
    • 77953060088 scopus 로고
    • A coupled nonlinear Schrödinger equation and optical solitons
    • M. Wadati, T. Izuka, and M. Hisakado A coupled nonlinear Schrödinger equation and optical solitons J. Phys. Soc. Japan 61 1992 2241 2245
    • (1992) J. Phys. Soc. Japan , vol.61 , pp. 2241-2245
    • Wadati, M.1    Izuka, T.2    Hisakado, M.3
  • 53
    • 26844436587 scopus 로고    scopus 로고
    • Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
    • H.Q. Wang Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations Appl. Math. Comput. 170 2005 17 35
    • (2005) Appl. Math. Comput. , vol.170 , pp. 17-35
    • Wang, H.Q.1
  • 54
    • 67949117124 scopus 로고    scopus 로고
    • Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system
    • T. Wang, T. Nie, and L. Zhang Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system J. Comput. Appl. Math. 231 2009 745 759
    • (2009) J. Comput. Appl. Math. , vol.231 , pp. 745-759
    • Wang, T.1    Nie, T.2    Zhang, L.3
  • 55
    • 0001216115 scopus 로고    scopus 로고
    • Generation of pseudospectral differentiation matrices I
    • B.D. Welfert Generation of pseudospectral differentiation matrices I SIAM J. Numer. Anal. 34 1997 1640 1657 (Pubitemid 127463621)
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , Issue.4 , pp. 1640-1657
    • Welfert, B.D.1
  • 57
    • 33745008671 scopus 로고    scopus 로고
    • The large time error estimation of Chebyshev pseudospectral approximation for a class of semilinear parabolic equations
    • DOI 10.1016/j.amc.2005.09.100, PII S0096300305009525
    • X. Xiang The large time error estimation of Chebyshev pseudospectral approximation for a class of semilinear parabolic equations Appl. Math. Comput. 15 2006 720 728 (Pubitemid 43866899)
    • (2006) Applied Mathematics and Computation , vol.177 , Issue.2 , pp. 720-728
    • Xiang, X.1
  • 58
    • 33750368073 scopus 로고    scopus 로고
    • Variational principles for coupled nonlinear Schrödinger equations
    • DOI 10.1016/j.physleta.2006.07.026, PII S0375960106011388
    • L. Xu Variational principles for coupled nonlinear Schrödinger equations Phys. Lett. A. 359 2006 627 629 (Pubitemid 44634217)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.359 , Issue.6 , pp. 627-629
    • Xu, L.1
  • 59
    • 16844366209 scopus 로고    scopus 로고
    • Local discontinuous Galerkin method for coupled nonlinear Schrödinger equations
    • Y. Xu, and C. Shu Local discontinuous Galerkin method for coupled nonlinear Schrödinger equations J. Comput. Phys. 205 2005 72 97
    • (2005) J. Comput. Phys. , vol.205 , pp. 72-97
    • Xu, Y.1    Shu, C.2
  • 60
    • 0028498526 scopus 로고
    • Chebyshev pseudospectral multidomain technique for viscous flow calculation
    • H.H. Yang, B.R. Seymour, and B.D. Shizgal Chebyshev pseudospectral multidomain technique for viscous flow calculation Comput. Methods Appl. Mech. Engrg. 118 1994 47 61
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.118 , pp. 47-61
    • Yang, H.H.1    Seymour, B.R.2    Shizgal, B.D.3
  • 61
    • 0028463639 scopus 로고
    • A Chebyshev pseudospectral multidomain method for steady flow past a cylinder, up to Re = 150
    • H.H. Yang, B.R. Seymour, and B.D. Shizgal A Chebyshev pseudospectral multidomain method for steady flow past a cylinder, up to Re = 150 Comput. Fluids 23 1994 829 851
    • (1994) Comput. Fluids , vol.23 , pp. 829-851
    • Yang, H.H.1    Seymour, B.R.2    Shizgal, B.D.3
  • 63
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplitude on the surface of a deep fluid
    • V.E. Zakharov Stability of periodic waves of finite amplitude on the surface of a deep fluid J. Appl. Mech. Techn. Phys. 9 1968 86 94
    • (1968) J. Appl. Mech. Techn. Phys. , vol.9 , pp. 86-94
    • Zakharov, V.E.1
  • 64
    • 58549095047 scopus 로고    scopus 로고
    • The use of compact boundary value method for the solution of two-dimensional Schrödinger equation
    • A. Mohebbi, and M. Dehghan The use of compact boundary value method for the solution of two-dimensional Schrödinger equation J. Comput. Appl. Math. 225 2009 124 134
    • (2009) J. Comput. Appl. Math. , vol.225 , pp. 124-134
    • Mohebbi, A.1    Dehghan, M.2
  • 65
    • 34347347254 scopus 로고    scopus 로고
    • A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
    • DOI 10.1016/j.camwa.2007.01.038, PII S0898122107002027
    • M. Dehghan, and A. Shokri A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions Comput. Math. Appl. 54 2007 136 146 (Pubitemid 47008913)
    • (2007) Computers and Mathematics with Applications , vol.54 , Issue.1 , pp. 136-146
    • Dehghan, M.1    Shokri, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.