Photo from academic.microsoft.com
Abstract In this paper, two unified alternating direction implicit (ADI) methods, based on the combination of fourth-order compact difference for the approximations of the second spatial derivatives with approximation factorization… Click to show full abstract
Abstract In this paper, two unified alternating direction implicit (ADI) methods, based on the combination of fourth-order compact difference for the approximations of the second spatial derivatives with approximation factorization of difference operators, are presented for solving a two-dimensional (2D) and three-dimensional (3D) nonlinear viscous and nonviscous wave equations, respectively. By the discrete energy method, it is shown that their solutions converge to exact solutions with an order of two in time and four in space in L2- and H1-norms. Finally, numerical findings testify the computational efficiency of the algorithms.
Journal Title: Chinese Journal of Physics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!