A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems
A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems作者机构：Faculty of Mathematics and Mechanics National University of Uzbekistan (NUUz) Tashkent Uzbekistan Faculty of Science and Technology Universiti Sains Islam Malaysia (USIM) Nilai Malaysia Institute for Mathematical Research (INSPEM) UPM Kuala Lumpur Malaysia Department of Mathematics Faculty of Science Universiti Putra Malaysia (UPM) Kuala Lumpur Malaysia
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2018年第9卷第7期
页 面：789-805页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Hyperbolic Systems Stability Quasilinear Equations
摘 要：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.
维普期刊数据库