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 an...