A fully spectral solution method for parabolic equations

DOI10.1002/CNM.1640110907zbMath0836.65107OpenAlexW2006962097MaRDI QIDQ4854718

K. N. Kiran Kumar, V. Eswaran

Publication date: 11 December 1995

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1640110907

zbMATH Keywords

convergencespectral methodsChebyshev collocation methodGalerkin collocation methodleast squares collocation methodsystems of parabolic partial differential equationslaminar, incompressible, steady boundary-layer equationspreconditioned residual minimization method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (1)

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Cites Work

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• Solutions of the two-dimensional Navier-Stokes equations by Chebyshev expansion methods
• On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries
• Spectral Methods for Initial Boundary Value Problems—An Alternative Approach
• Spectral Methods in Time for Hyperbolic Equations

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