R. Aloev, Z. Eshkuvatov, M. Khudayberganov, N. Long
{"title":"A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems","authors":"R. Aloev, Z. Eshkuvatov, M. Khudayberganov, N. Long","doi":"10.4236/AM.2018.97055","DOIUrl":null,"url":null,"abstract":"The class of three-dimensional quasilinear hyperbolic systems is studied. The \ninitial boundary value problem for this class of quasilinear hyperbolic systems \nis given. By constructing the energy’s integral, a priori estimate for the solution \nof the initial boundary value problem is obtained. Difference scheme is \nconstructed and an a priori estimate for its solution is obtained. Numerical \nexample exhibits the efficiency and accuracy of the method.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2018-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics-A Journal of Chinese Universities Series B","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4236/AM.2018.97055","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
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.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
