Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics

DOI10.1016/j.cnsns.2022.106989zbMath1504.65176OpenAlexW4308516707MaRDI QIDQ2108742

Tao Guo, Wenlin Qiu, Da Xu, Omid Nikan

Publication date: 20 December 2022

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.2022.106989

zbMATH Keywords

finite differenceconvergence and stabilitytheta-schemeL-RBF-PUCMlocal meshless techniquenonlinear Sobolev problemsecond-order BDF method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Soil and rock mechanics (74L10) 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) Finite difference methods applied to problems in solid mechanics (74S20) PDEs in connection with mechanics of deformable solids (35Q74) Numerical radial basis function approximation (65D12)

Related Items (3)

Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations ⋮ Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation ⋮ A linearlized mass-conservative fourth-order block-centered finite difference method for the semilinear Sobolev equation with variable coefficients

Uses Software

• Matlab
• GaussQR

Cites Work

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