A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems
Rakhmatillo AloevFaculty of Mathematics and Mechanics, National University of Uzbekistan (NUUz), Tashkent, UzbekistanZ. K. EshkuvatovFaculty of Science and Technology, Universiti Sains Islam Malaysia (USIM), Nilai, MalaysiaMirzoali KhudayberganovFaculty of Mathematics and Mechanics, National University of Uzbekistan (NUUz), Tashkent, UzbekistanNik Mohd Asri Nik LongDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia (UPM), Kuala Lumpur, Malaysia
ABI
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.
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