Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1229.81011
Xie, Shusen; Li, Guangxing; Yi, Sucheol
Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation. (English)
[J] Comput. Methods Appl. Mech. Eng. 198, No. 9-12, 1052-1060 (2009). ISSN 0045-7825

Summary: In this paper, two compact finite difference schemes are presented for the numerical solution of the one-dimensional nonlinear Schrödinger equation. The discrete $L_{2}$-norm error estimates show that convergence rates of the present schemes are of order $O(h^{4}+\tau ^{2})$. Numerical experiments on some model problems show that the present schemes preserve the conservation laws of charge and energy and are of high accuracy.

MSC 2000:: *81-08 Computational methods (quantum theory)
81Q05 Closed and approximate solutions to quantum-mechanical equations

Keywords: nonlinear Schrödinger equation; compact finite difference scheme; conservation law; error estimate; soliton

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]