Numerical studies of high-dimensional nonlinear viscous and nonviscous wave equations by using finite difference methods

作     者：Ding-Wen Deng Zhu-An Wang 

作者机构：College of Mathematics and Information Science Nanchang Hangkong UniversityNanchang 330063P.R.China 

出 版 物：《International Journal of Modeling, Simulation, and Scientific Computing》 (建模、仿真和科学计算国际期刊（英文）)

年 卷 期：2020年第11卷第2期

页      面：1-30页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：partially supported by the National Natural Science Foundation of China Grant Nos.11861047 and 11871393 

主　　题：Viscous and nonviscous wave equations FDMs ADI methods convergence 

摘      要：The numerical solutions of two-dimensional(2D)and three-dimensional(3D)nonlinear viscous and nonviscous wave equations via the unified alternating direction implicit(ADI)finite difference methods(FDMs)are obtained in this *** making use of the discrete energy method,it is proven that their numerical solutions converge to exact solutions with an order of two in both time and space with respect to H^(1)-*** results confirm that they are relatively accurate and high-resolution,and more successfully simulate the conservation of the energy for nonviscous equations,and the dissipation of the energy for viscous equation.