An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations

Jingjun Zhao, Yu Li and Yang Xu

Applied Mathematics and Computation, 2019, vol. 351, issue C, 124-138

Abstract: In this paper, a new explicit fourth-order scheme for solving Riesz space fractional nonlinear wave equations is developed. The scheme is designed by using a novel Riesz space fractional difference operator for spatial discretization and a multidimensional extended Runge–Kutta–Nyström method for time integration. The conservation law of the semi-discrete energy, stability and convergence of the semi-discrete system are investigated. Numerical experiments show the efficiency and energy conservation of the present scheme.

Keywords: Riesz space fractional wave equation; Energy conservation; Lubich difference operator; Extended Runge–Kutta–Nyström method (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:351:y:2019:i:c:p:124-138

DOI: 10.1016/j.amc.2019.01.040

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