Difference graphs of a class of alternating block Crank-Nicolson methods

DOI10.1007/BF02886154zbMath1043.65105OpenAlexW2019109909MaRDI QIDQ1428887

Hongyuan Fu, Bao-Lin Zhang

Publication date: 18 May 2004

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02886154

zbMATH Keywords

finite difference methodparallel computingmultigraphsCrank-Nicolson methoddifference graphs2D diffusion equation

Mathematics Subject Classification ID

Applications of graph theory (05C90) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05)

Cites Work

• Alternating difference block methods and their difference graphs
• Alternating band Crank-Nicolson method for \(\partial u/\partial t=\partial^ 2 u/\partial x^ 2+ \partial^ 2 u/\partial y^ 2\)
• Alternating block explicit-implicit method for the two-dimensional diffusion equation

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