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Article information
2012 , Volume 17, ¹ 3, p.83-90
Paasonen V.I., Fedoruk M.P.
A compact noniterative scheme with artificial dissipation for nonlinear Schrodinger equation
A fourth-order accuracy compact difference scheme with artificial dissipation is constructed for the Schrodinger equation. This scheme does not require iterations caused by nonlinearity. Its significant advantage in accuracy, compared to the dissipative analog of Crank-Nickolson scheme, is proved in the series of numerical experiments. In addition, there is a significant reduction in calculation time compared to the iterative compact scheme. With a proper choice for the parameter of dissipation, the improvement of accuracy of the scheme was noticed compared to the scheme without dissipation.
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Keywords: Shrodinger equation, compact difference scheme, dissipative scheme, high-order accuracy scheme, nonlinear fiber optics, fiber laser, fiber-optic link
Author(s):
Paasonen Viktor Ivanovich
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56
E-mail: paas@ict.nsc.ru
Fedoruk Mikhail Petrovich
Dr. , Academician RAS, Professor
Position: Chancellor
Office: Novosibirsk State University, Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, str. Pirogova, 2
Phone Office: (3832) 349105
E-mail: mife@net.ict.nsc.ru
SPIN-code: 4929-8753
Bibliography link:
Paasonen V.I., Fedoruk M.P. A compact noniterative scheme with artificial dissipation for nonlinear Schrodinger equation // Computational technologies. 2012. V. 17. ¹ 3. P. 83-90
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