Alternating difference block methods and their difference graphs

DOI10.1007/BF02917022zbMath0917.65076MaRDI QIDQ1286683

Bao-Lin Zhang

Publication date: 25 July 1999

Published in: Science in China. Series E (Search for Journal in Brave)

zbMATH Keywords

unconditional stabilityparallel algorithmstwo-dimensional diffusion equationADI methoddifference graphsABE-I methodAGE methodalternating difference block methods

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (4)

A second-order uniformly stable explicit asymmetric discretization method for one-dimensional fractional diffusion equations ⋮ Difference graphs of a class of alternating block Crank-Nicolson methods ⋮ A stable explicitly solvable numerical method for the Riesz fractional advection-dispersion equations ⋮ Uniformly Stable Explicitly Solvable Finite Difference Method for Fractional Diffusion Equations

Cites Work

• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
• Alternating block explicit-implicit method for the two-dimensional diffusion equation
• A new explicit method for the solution of
• An Alternating Direction Method for Operator Equations

This page was built for publication: Alternating difference block methods and their difference graphs