Alternating directions implicit method for solving homogeneous heat diffusion equation

الملخص EN

An Alternating Directions Implicit method is presented to solve the homogeneous heatdiffusion equation when the governing equation is a bi-harmonic equation (X) based onAlternative Direction Implicit (ADI).

Numerical results are compared with other resultsobtained by other numerical (explicit and implicit) methods.

We apply these methods it twoexamples (X): the first one, we apply explicit when the temperature