Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian

DOI10.1016/j.cnsns.2021.105786zbMath1471.65102OpenAlexW3134330269MaRDI QIDQ2025519

Dongdong Hu, Wenjun Cai, Yayun Fu, Yu Shun Wang

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105786

zbMATH Keywords

fast Fourier transformpreconditionerKrylov subspace solverintegral fractional Laplaciandissipation-preserving difference schemefractional generalized wave equation

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11)

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