روش ADI بهبوديافته و كاربرد آن براي حل مسايل انتقال هدايتي حرارت

A drawback of conversional ADI method in solving heat conduction problem is that for stability, a small time step is required. In this paper, a new method is introduced in which the time step can be increased by a factor of 1/f (o <1/f <1), so that the solutions remain stable, and high accuracy is retained. This new method is tested for two different boundary conditions: a constant heat flux, and a constant surface temprature. The new method is compared with the conventional ADI method and the well-known Brain and Douglas methods. The results show that the imporved ADI method is more accurate and requires less computer storage.