An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations
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DOI: 10.1016/j.amc.2019.01.040
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References listed on IDEAS
- Cheng, Xiujun & Duan, Jinqiao & Li, Dongfang, 2019. "A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 452-464.
- Xing, Zhiyong & Wen, Liping, 2019. "Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 155-166.
- Macías-Díaz, J.E. & Hendy, A.S. & De Staelen, R.H., 2018. "A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 1-14.
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Cited by:
- Yutong Zhang & Bin Li & Mingfa Fei, 2024. "Linearly Implicit Conservative Schemes for the Nonlocal Schrödinger Equation," Mathematics, MDPI, vol. 12(21), pages 1-13, October.
- Xing, Zhiyong & Wen, Liping & Wang, Wansheng, 2021. "An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional Sine–Gordon equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 624-641.
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Keywords
Riesz space fractional wave equation; Energy conservation; Lubich difference operator; Extended Runge–Kutta–Nyström method;All these keywords.
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