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Crank-Nicolson implicit method for the nonlinear Schrodinger equation with variable coefficient

AIP Conference Proceedings (2014) 1605 76-82
DOI: 10.1063/1.4887568
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Abstract

In the present work, the Crank-Nicolson implicit scheme for the numerical solution of nonlinear Schrodinger equation with variable coefficient is introduced. The Crank-Nicolson scheme is second order accurate in time and space directions. The stability analysis for the Crank-Nicolson method is investigated and this method is shown to be unconditionally stable. The numerical results obtained by the Crank-Nicolson method are presented to confirm the analytical results for the progressive wave solution of nonlinear Schrodinger equation with variable coefficient. © 2014 AIP Publishing LLC.

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CITATION STYLE

APA

Choy, Y. Y., Tan, W. N., Tay, K. G., & Ong, C. T. (2014). Crank-Nicolson implicit method for the nonlinear Schrodinger equation with variable coefficient. In AIP Conference Proceedings (Vol. 1605, pp. 76–82). American Institute of Physics Inc. https://doi.org/10.1063/1.4887568

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