An Alternating-Direction Implicit Orthogonal Spline Collocation Scheme for Nonlinear Parabolic Problems on Rectangular Polygons

DOI10.1137/050627885zbMath1114.65118OpenAlexW2061353257MaRDI QIDQ3440203

Publication date: 22 May 2007

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050627885

zbMATH Keywords

numerical examples extrapolation Crank-Nicolson scheme implementation Gauss points orthogonal spline collocation interpolants nonlinear parabolic initial-boundary value problem alternating-direction implicit

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

Numerical approach for solving two dimensional fractal-fractional PDEs using peridynamic method ⋮ An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems ⋮ Unnamed Item ⋮ Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions ⋮ High-order unconditionally stable FC-AD solvers for general smooth domains. I: Basic elements ⋮ ADI spectral collocation methods for parabolic problems ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains ⋮ Extrapolated ADI Crank–Nicolson orthogonal spline collocation for coupled Burgers' equations ⋮ Alternating direction implicit OSC scheme for the two-dimensional fractional evolution equation with a weakly singular kernel

Uses Software

COLROW

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