Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer

DOI10.1016/0045-7825(88)90182-XzbMath0636.65083OpenAlexW1978937644MaRDI QIDQ1098244

Andreas Karageorghis

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90182-x

zbMATH Keywords

convergenceheat transfercollocationGalerkin methodsChebyshev spectral methodsSturn-Liouville problemtruncated series of Chebyshev polynomials

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Ordinary differential operators (34L99)

Related Items (7)

On the coefficients of integrated expansions and integrals of ultraspherical polynomials and their applications for solving differential equations ⋮ Chebyshev spectral collocation methods for laminar flow through a channel contraction ⋮ The first and second kind chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function ⋮ The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function ⋮ On the legendre coefficients of the moments of the general order derivative of an infinitely differentiable function ⋮ On the coefficients of differentiated expansions of ultraspherical polynomials ⋮ Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations

Uses Software

• NAG
• COLSYS

Cites Work

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• Flow and heat transfer of a micropolar fluid past a continuously moving porous plate
• A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function
• Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Numerical solution of problems in unbounded regions: coordinate transforms
• Free convection flow past a vertical flat plate embedded in a saturated porous medium
• Preconditioners for the Spectral Multigrid Method
• AN ASSESSMENT OF NUMERICAL SOFTWARE FOR SOLVING TWO-POINT BOUNDARY-VALUE PROBLEMS ARISING IN HEAT TRANSFER
• Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows
• Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows
• Collocation Software for Boundary-Value ODEs
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows
• A Method for the Solution of Conduction Heat Transfer with Non‐linear Heat Generation
• Accurate solution of the Orr–Sommerfeld stability equation

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