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• W2896075178 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." @default.
• W2896075178 created "2018-10-26" @default.
• W2896075178 creator A5050065253 @default.
• W2896075178 date "2018-12-01" @default.
• W2896075178 modified "2023-09-24" @default.
• W2896075178 title "Unified compact ADI methods for solving nonlinear viscous and nonviscous wave equations" @default.
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• W2896075178 doi "https://doi.org/10.1016/j.cjph.2018.09.025" @default.
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