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Volume 18, Issue 2
A Finite Difference Scheme for the Generalized Nonlinear Schrödinger Equation with Variable Coefficients

Wei-Zhong Dai & Raja Nassar

J. Comp. Math., 18 (2000), pp. 123-132.

Published online: 2000-04

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  • Abstract

A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients is developed. The scheme is shown to satisfy two conservation laws. Numerical results show that the scheme is accurate and efficient.

  • Keywords

Finite difference scheme, Schrödinger equation, Discrete energy method.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-123, author = {Wei-Zhong Dai and Raja Nassar}, title = {A Finite Difference Scheme for the Generalized Nonlinear Schrödinger Equation with Variable Coefficients}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {2}, pages = {123--132}, abstract = {

A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients is developed. The scheme is shown to satisfy two conservation laws. Numerical results show that the scheme is accurate and efficient.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9028.html} }
TY - JOUR T1 - A Finite Difference Scheme for the Generalized Nonlinear Schrödinger Equation with Variable Coefficients AU - Wei-Zhong Dai & Raja Nassar JO - Journal of Computational Mathematics VL - 2 SP - 123 EP - 132 PY - 2000 DA - 2000/04 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9028.html KW - Finite difference scheme, Schrödinger equation, Discrete energy method. AB -

A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients is developed. The scheme is shown to satisfy two conservation laws. Numerical results show that the scheme is accurate and efficient.

Wei-Zhong Dai and Raja Nassar. (2000). A Finite Difference Scheme for the Generalized Nonlinear Schrödinger Equation with Variable Coefficients. Journal of Computational Mathematics. 18 (2). 123-132. doi:
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