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Parallel Numerical Algorithms for 3D Parabolic Problem with Nonlocal Boundary Condition
Volume 17, Issue 3 (2006), pp. 309–324
Raimondas Čiegis  

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https://doi.org/10.15388/Informatica.2006.140
Pub. online: 1 January 2006      Type: Research Article     

Received
1 January 2006
Published
1 January 2006

Abstract

Three parallel algorithms for solving the 3D problem with nonlocal boundary condition are considered. The forward and backward Euler finite-difference schemes, and LOD scheme are typical representatives of three general classes of parallel algorithms used to solve multidimensional parabolic initial-boundary value problems. All algorithms are modified to take into account additional nonlocal boundary condition. The algorithms are implemented using the parallel array object tool ParSol, then a parallel algorithm follows semi-automatically from the serial one. Results of computational experiments are presented and the accuracy and efficiency of the presented parallel algorithms are tested.

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Keywords
parallel algorithms finite-difference schemes parabolic problems nonlocal conditions

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INFORMATICA

  • Online ISSN: 1822-8844
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