An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations

DOI10.1137/080739112zbMath1206.65236OpenAlexW1977376264MaRDI QIDQ3056235

Ryan I. Fernandes, Bernard Bialecki

Publication date: 11 November 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080739112

zbMATH Keywords

parabolic equationalternating direction implicit methodorthogonal spline collocationbackward differentiation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations ⋮ Accuracy improvement of a multistep splitting method for nonlinear viscous wave equations ⋮ Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems ⋮ Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives ⋮ Orthogonal spline collocation methods for the subdiffusion equation ⋮ One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay

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