INFORMATICA International Journal Main Page Editorial Board Abstracting/Indexing Instructions to Authors Subscription Information Contents Author Index Papers in Production		INFORMATICA, 2006, Vol. 17, No. 3, 309-324 © Institute of Mathematics and Informatics, ISSN 0868-4952 Parallel Numerical Algorithms for 3D Parabolic Problem with Nonlocal Boundary Condition Raimondas CIEGIS Vilnius Gediminas Technical University Sauletekio al. 11, LT-10223 Vilnius, Lithuania E-mail: rc@fm.vtu.lt 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. Keywords: parallel algorithms, finite-difference schemes, parabolic problems, nonlocal conditions To preview Lithuanian abstract see full article text To preview full article text in PDF format click here You could obtain free Acrobat Reader from Adobe
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