拟线性双曲型系统差分格式能量积分的离散模拟

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2018-07-12 DOI:10.4236/AM.2018.97055

R. Aloev, Z. Eshkuvatov, M. Khudayberganov, N. Long

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引用次数: 11

摘要

研究了一类三维拟线性双曲型系统。给出了这类拟线性双曲型系统的初边值问题。通过构造能量积分，得到了初始边值问题解的先验估计。构造了差分格式，得到了差分格式解的先验估计。算例表明了该方法的有效性和准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems

The class of three-dimensional quasilinear hyperbolic systems is studied. The initial boundary value problem for this class of quasilinear hyperbolic systems is given. By constructing the energy’s integral, a priori estimate for the solution of the initial boundary value problem is obtained. Difference scheme is constructed and an a priori estimate for its solution is obtained. Numerical example exhibits the efficiency and accuracy of the method.

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.