Energy-preserving splitting finite element method for nonlinear stochastic space-fractional wave equations with multiplicative noise

DOI10.1016/j.aml.2023.108832MaRDI QIDQ6076510

Hongfei Fu, Huan Liu

Publication date: 21 September 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

finite element methodsplitting techniqueAVF methodenergy evolution lawstochastic space-fractional wave equations

Mathematics Subject Classification ID

Stochastic analysis (60Hxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx)

Cites Work

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• Energy-preserving integrators and the structure of B-series
• A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
• Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models
• Fractional stochastic wave equation driven by a Gaussian noise rough in space
• Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations
• Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
• Fractional wave equation and damped waves

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