21- https://doi.org/10.15388/informatica.2006.140
Parallel Numerical Algorithms for 3D Parabolic Problem with Nonlocal Boundary Condition
- Jan 1, 2006
- Informatica
- Raimondas Čiegis
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.
- # Parallel Algorithms
- # Nonlocal Boundary Condition
- # LOD Scheme
- # Parabolic Problem
- # Additional Boundary Condition
- # Backward Schemes
- # Forward Schemes
- # Additional Boundary
- # Multidimensional Problems
- # Additional Condition
