变分积分器在讨论温度分布和波浪现象的线性动力学耦合模型中的应用

IF 1.8 4区 物理与天体物理 Q3 PHYSICS, APPLIED
Syed Oan Abbas, Aly R. Seadawy, Sana Ghafoor, Syed T. R. Rizvi
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引用次数: 0

摘要

变量积分(Variational Integrator,VI)是一种数值技术,其中系统的拉格朗日被用作作用积分。它是一种特殊的数值解法,能保留系统的能量和动量。在本文中,我们借助所有可能的有限差分方案组合,如前向前进、前向后退、前向居中、后向前进、后向后退、后向居中、居中前进、居中后退、居中居中,检索热方程和波方程的数值解。我们还使用拉格朗日方法和投影技术来获得这些线性模型的近似解。这种方法提供了最佳近似解,并保留了系统的能量,而有限差分方案只给出了数值解。我们还对这两个模型的现有精确解与所有近似解进行了比较,并提供了这些解的图示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Applications of variational integrators to couple of linear dynamical models discussing temperature distribution and wave phenomena

Variational Integrator (VI) is a numerical technique, in which the Lagrangian of the system is used as the action integral. It is a special type of numerical solution that preserves the energy and momentum of the system. In this paper, we retrieve numerical solutions for heat and wave equation with the help of all possible combinations of finite difference scheme like forward–forward, forward–backward, forward–centered, backward–forward, backward–backward, backward–centered, centered–forward, centered–backward, centered–centered. We also use Lagrangian approach along with the projection technique to obtain approximate solutions of these linear models. This approach provides the best approximate solutions as well as preserves the energy of the system while the finite difference scheme gives only the numerical solutions. We also draw a comparison of existing exact solution with all approximate solutions for both models and provide graphical representation of these solutions.

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来源期刊
Modern Physics Letters B
Modern Physics Letters B 物理-物理:凝聚态物理
CiteScore
3.70
自引率
10.50%
发文量
235
审稿时长
5.9 months
期刊介绍: MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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