Journal article
Linearly implicit conservative schemes for long-term numerical simulation of Klein–Gordon–Schrödinger equations
Applied mathematics and computation, v 238, pp 475-484
01 Jul 2014
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
In this paper, we propose three linearly implicit Fourier pseudospectral algorithms for solving the Klein–Gordon–Schrödinger equations in quantum physics. All methods are linearly implicit in the sense that they do not need iterative technique to solve nonlinear equations at each time step. The three algorithms are proved to admit the charge and energy conservation laws exactly. Numerical results reveal that all the proposed methods can provide accurate soliton solutions and simulate the collision of solitons well. The numerical results also verify the theoretical analysis that the proposed methods are all charge-preserving and energy-preserving algorithms.
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Details
- Title
- Linearly implicit conservative schemes for long-term numerical simulation of Klein–Gordon–Schrödinger equations
- Creators
- Hua Liang - Huaiyin Normal UniversityHualou Liang - School of Biomedical Engineering, Science, and Health Systems (1997-)
- Publication Details
- Applied mathematics and computation, v 238, pp 475-484
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- School of Biomedical Engineering, Science, and Health Systems
- Web of Science ID
- WOS:000336522400041
- Scopus ID
- 2-s2.0-84900427016
- Other Identifier
- 991019320713004721
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- Web of Science research areas
- Mathematics, Applied