A meshless symplectic algorithm for nonlinear wave equation using highly accurate RBFs quasi-interpolation

Shengliang Zhang, Yu Yang and Hongqiang Yang ()

Applied Mathematics and Computation, 2017, vol. 314, issue C, 110-120

Abstract: This study suggests a high-order meshless symplecitc algorithm for Hamiltonian wave equation by using highly accurate radial basis functions (RBFs) quasi-interpolation operator. The method does not require solving a resultant full matrix and possesses a high order accuracy compared with existing numerical methods. We also present a theoretical framework to show the conservativeness and convergence of the proposed symplectic method. As the numerical experiments shown, it not only offers a high order accuracy but also has a good property of long-time tracking capability.

Keywords: Radial basis functions; High-order quasi-interpolation; Symplectic integrator; Hamiltonian PDEs (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:314:y:2017:i:c:p:110-120

DOI: 10.1016/j.amc.2017.07.010

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