Parallel Numerical Algorithms for 3D Parabolic Problem with Nonlocal Boundary Condition
Volume 17, Issue 3 (2006), pp. 309–324
Pub. online: 1 January 2006
Type: Research Article
Received
1 January 2006
1 January 2006
Published
1 January 2006
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.