An efficient algorithm for a model with a bidiagonal coefficient matrix

摘要

Bidiagonal matrices arise directly in the discretization of models using one step methods and indirectly through the factoring of tridiagonal systems with special characteristics. We first look at the solution of a bidiagonal system and then relate it to an experimental method that has been used to determine the overall heat transfer coefficient in a concentric tube, parallel flow heat exchanger. The discretization of the governing partial differential equation with its boundary conditions gives rise to a near Toeplitz bidiagonal system. Here we consider a method for the parallel processing of the resulting systems to provide measurements at fixed spatial and time increments.