Orthogonal Spline Collocation Laplace-Modified and Alternating-Direction Methods for Parabolic Problems on Rectangles

DOI10.2307/2153102zbMath0779.65063OpenAlexW4236672462MaRDI QIDQ5288220

Ryan I. Fernandes, Bernard Bialecki

Publication date: 15 August 1993

Full work available at URL: https://doi.org/10.2307/2153102

zbMATH Keywords

unconditional stabilityEuler methodparabolic equationsalternating-direction implicit schemestime discretizationsLaplace-modified methodoptimal-order accuracyOrthogonal spline collocationpiecewise Hermite bicubic interpolant

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

Related Items

Efficient, linearized high‐order compact difference schemes for nonlinear parabolic equations I: One‐dimensional problem ⋮ Orthogonal Spline Collocation Laplace-Modified and Alternating-Direction Methods for Parabolic Problems on Rectangles ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ The finite element numerical analysis for a class of nonlinear evolution equations ⋮ A spline collocation method for a fractional mobile-immobile equation with variable coefficients ⋮ ADI spectral collocation methods for parabolic problems ⋮ An ADI Petrov-Galerkin method with quadrature for parabolic problems

Uses Software

• COLROW

Cites Work

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