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Volumn 20, Issue 6, 2004, Pages 843-854

A dual-Reciprocity boundary element solution of a generalized nonlinear schrödinger equation

Author keywords

Dual reciprocity boundary element method; Schr dinger equation; Time stepping scheme

Indexed keywords


EID: 7444253973     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.20011     Document Type: Article
Times cited : (31)

References (15)
  • 1
    • 33746223610 scopus 로고    scopus 로고
    • A finite difference scheme for the generalized non‐linear Schrödinger equation with variable coefficients
    • 1 W. Dai and R. Nassar, A finite difference scheme for the generalized non‐linear Schrödinger equation with variable coefficients, J Comput Math 18 (2000), 123–132.
    • (2000) J Comput Math , vol.18 , pp. 123-132
    • Dai, W.1    Nassar, R.2
  • 2
    • 0037175405 scopus 로고    scopus 로고
    • Linearly implicit methods for the nonlinear Schrödinger equation in nonhomogeneous media
    • 2 J. I. Ramos, Linearly implicit methods for the nonlinear Schrödinger equation in nonhomogeneous media, Appl Math Comput 133 (2002), 1–28.
    • (2002) Appl Math Comput , vol.133 , pp. 1-28
    • Ramos, J.I.1
  • 3
    • 0036844275 scopus 로고    scopus 로고
    • On the finite‐difference schemes for the numerical solution of two‐dimensional Schrödinger equation
    • 3 M. Subaşi, On the finite‐difference schemes for the numerical solution of two‐dimensional Schrödinger equation, Numer Methods Partial Differential Eq 18 (2002), 752–758.
    • (2002) Numer Methods Partial Differential Eq , vol.18 , pp. 752-758
    • Subaşi, M.1
  • 4
    • 0034920816 scopus 로고    scopus 로고
    • Numerical simulation of coupled nonlinear Schrödinger equation
    • 4 M. S. Ismail and T. R. Taha, Numerical simulation of coupled nonlinear Schrödinger equation, Math Comput Simul 56 (2001), 547–562.
    • (2001) Math Comput Simul , vol.56 , pp. 547-562
    • Ismail, M.S.1    Taha, T.R.2
  • 5
    • 0001578881 scopus 로고
    • Dynamic analysis in solid mechanics by an alternative boundary element procedure
    • 5 C. A. Brebbia and D. Nardini, Dynamic analysis in solid mechanics by an alternative boundary element procedure, Int J Soil Dynamics Earthquake Eng 2 (1983), 228–233.
    • (1983) Int J Soil Dynamics Earthquake Eng , vol.2 , pp. 228-233
    • Brebbia, C.A.1    Nardini, D.2
  • 6
    • 0003048395 scopus 로고
    • The dual reciprocity boundary element method for the Helmholtz equation, in:
    • 6 P. W. Partridge and C. A. Brebbia, The dual reciprocity boundary element method for the Helmholtz equation, in Proceedings of the International Boundary Elements Symposium, C. A. Brebbia and A. Choudouet‐Miranda, editors, Computational Mechanics Publications, Springer Berlin, 1990, pp 543–555.
    • (1990) , pp. 543-555
    • Partridge, P.W.1    Brebbia, C.A.2
  • 7
    • 0027969546 scopus 로고
    • Solving linear diffusion equations with the dual reciprocity method in Laplace space
    • 7 S. P. Zhu, P. Satravaha, and X. P. Lu, Solving linear diffusion equations with the dual reciprocity method in Laplace space, Eng Anal Boundary Elements 13 (1994), 1–10.
    • (1994) Eng Anal Boundary Elements , vol.13 , pp. 1-10
    • Zhu, S.P.1    Satravaha, P.2    Lu, X.P.3
  • 8
    • 85120588101 scopus 로고    scopus 로고
    • On a DRBEM model for time‐dependent PDEs in semi‐conductor simulation
    • 8 A. Profit, K. Chen, and S. Amini, On a DRBEM model for time‐dependent PDEs in semi‐conductor simulation, Technical Report CMS‐99‐1, Department of Computer and Mathematical Sciences, The University of Salford, 1999.
    • (1999)
    • Profit, A.1    Chen, K.2    Amini, S.3
  • 9
    • 0029386921 scopus 로고
    • Global interpolation function based DRBEM applied to Darcy's flow in heterogeneous media
    • 9 K. E. Harrouni, D. Quazar, L. C. Wrobel, and A. H. D. Cheng, Global interpolation function based DRBEM applied to Darcy's flow in heterogeneous media, Eng Anal Boundary Elements 16 (1995), 281–285.
    • (1995) Eng Anal Boundary Elements , vol.16 , pp. 281-285
    • Harrouni, K.E.1    Quazar, D.2    Wrobel, L.C.3    Cheng, A.H.D.4
  • 10
    • 0036294522 scopus 로고    scopus 로고
    • A Laplace transformation dual‐reciprocity boundary element method for a class of two‐dimensional microscale thermal problems
    • 10 W. T. Ang, A Laplace transformation dual‐reciprocity boundary element method for a class of two‐dimensional microscale thermal problems, Eng Comput 19 (2002), 467–478.
    • (2002) Eng Comput , vol.19 , pp. 467-478
    • Ang, W.T.1
  • 11
    • 10444249088 scopus 로고    scopus 로고
    • The determination of a control parameter in a two‐dimensional diffusion equation using a dual‐reciprocity boundary element method
    • 11 W. T. Ang, K. C. Ang, and M. Dehghan, The determination of a control parameter in a two‐dimensional diffusion equation using a dual‐reciprocity boundary element method, Int J Comp Math 80 (2003), 65–74.
    • (2003) Int J Comp Math , vol.80 , pp. 65-74
    • Ang, W.T.1    Ang, K.C.2    Dehghan, M.3
  • 12
    • 0003575869 scopus 로고
    • Boundary value problems governed by second order elliptic systems
    • 12 D. L. Clements, Boundary value problems governed by second order elliptic systems, Pitman, London, 1981.
    • (1981)
    • Clements, D.L.1
  • 13
    • 0028555684 scopus 로고
    • On the choice of interpolation functions used in the dual‐reciprocity boundary‐element method
    • 13 Y. Zhang and S. Zhu, On the choice of interpolation functions used in the dual‐reciprocity boundary‐element method, Eng Analy Boundary Elements 13 (1994), 387–396.
    • (1994) Eng Analy Boundary Elements , vol.13 , pp. 387-396
    • Zhang, Y.1    Zhu, S.2
  • 14
    • 0141803339 scopus 로고
    • A method of solution for the numerical solution of some elliptic boundary value problems for a strip
    • 14 D. L. Clements and J. Crowe, A method of solution for the numerical solution of some elliptic boundary value problems for a strip, Int J Comput Math 8 (1980), 345–355.
    • (1980) Int J Comput Math , vol.8 , pp. 345-355
    • Clements, D.L.1    Crowe, J.2
  • 15
    • 0345021704 scopus 로고
    • A method for the numerical solution of problems governed by elliptic systems in the cut plane
    • 15 D. L. Clements and G. W. King, A method for the numerical solution of problems governed by elliptic systems in the cut plane, J Inst Math Appl 24 (1979), 81–83.
    • (1979) J Inst Math Appl , vol.24 , pp. 81-83
    • Clements, D.L.1    King, G.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.