A collocation spectral method for two-dimensional Sobolev equations

DOI10.1186/S13661-018-1004-0zbMath1499.65560OpenAlexW2806218632WikidataQ129768370 ScholiaQ129768370MaRDI QIDQ2126390

Shiju Jin, Zhen-Dong Luo

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-1004-0

zbMATH Keywords

numerical experimentcollocation spectral methodSobolev equationexistence and stability as well as convergence

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Second-order elliptic equations (35J15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (4)

The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation ⋮ A space-time spectral method for multi-dimensional Sobolev equations ⋮ A reduced‐order modified finite difference method preserving unconditional energy‐stability for the Allen–Cahn equation ⋮ A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations

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