The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM

• Main Authors: Sahimi M.S., Alias N., Sundararajan E.
• Other Authors: 35561342900
• Format: Conference Paper
• Published: Springer Verlag 2023
• Subjects: Heat transfer; Partial differential equations; Algorithm for solving; Data decomposition; Heat equation; Parallel implementations; Parallelizations; Space and time; Space dimensions; Three space dimensions; Iterative methods

In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is iterative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit and is therefore well suited for parallel implementation on the PVM where data decomposition is run asynchronously and concurrently at every time level. Its performance is assessed in terms of speed-up, efficiency and effectiveness. � Springer-Verlag Berlin Heidelberg 2001.