Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass

DOI10.1080/00207169708804580zbMath0924.65085OpenAlexW1991566581WikidataQ126245671 ScholiaQ126245671MaRDI QIDQ4347177

E. H. Twizell, W. T. Ang, Abba B. Gumel

Publication date: 2 November 1999

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169708804580

zbMATH Keywords

algorithmdiffusion equationparallel computationmethod of linesPadé approximant\(L_{0}\) stability

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• Unnamed Item
• Diffusion subject to the specification of mass
• A parallel block cyclic reduction algorithm for the fast solution of elliptic equations
• Explicit finite difference methods for two-dimensional diffusion with non-local boundary condition
• A numerical method for the diffusion equation with nonlocal boundary specifications
• A new explicit method for the solution of
• $L_0 $-Stable Splitting Methods for the Simple Heat Equation in Two Space Dimensions with Homogeneous Boundary Conditions
• Explictt two-level finite-difference methods for the two-dimensional diffusion equation
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
• A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation