Parallel algorithm for the solutions of PDEs in Linux clustered workstations

DOI10.1016/j.amc.2007.11.013zbMath1143.65070OpenAlexW2088897278MaRDI QIDQ929433

Mohammad H. Al-Towaiq, Feras A. Mahmoud

Publication date: 17 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.013

zbMATH Keywords

domain decompositionparallel computingCrank-Nicolson methodheat conduction equationDufort-Frankel method

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (1)

A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations

Cites Work

• Stability analysis of numerical boundary conditions in domain decomposition algorithms.
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• New techniques in designing finite-difference domain decomposition algorithm for the heat equation
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Efficient Parallel Algorithms for Parabolic Problems
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