Generalized alternating-direction collocation methods for parabolic equations. I. Spatially varying coefficients

DOI10.1002/num.1690060302zbMath0705.65073OpenAlexW2046719698MaRDI QIDQ3485822

Michael A. Celia, George F. Pinder

Publication date: 1990

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690060302

zbMATH Keywords

variable coefficientslinear parabolic equationsorder of accuracypiecewise cubic Hermite interpolationalternating-direction collocation methodcorrection schemes

Mathematics Subject Classification ID

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 (6)

Compact ADI method for solving parabolic differential equations ⋮ Orthogonal Spline Collocation Laplace-Modified and Alternating-Direction Methods for Parabolic Problems on Rectangles ⋮ Global extrapolation with a parallel splitting method ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model ⋮ A B-spline collocation method for solving the incompressible Navier-Stokes equations using an ad hoc method: the boundary residual method

Cites Work

• Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
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