FINITE DIFFERENCE METHOD FOR SOLVING HEAT CONDUCTION EQUATION OF THE GRANITE

Abstract

In this paper, Granite is an underground rock that is under high temperature. Granite is mainly
formed of three minerals Marrow, Aluminum alkali silicate and plagioclase. These minerals make the granite
white, crimson or light gray. The reasons for the presence of granite may be a lot of ease for the fusion of
rock material the continents are largely granite buried under sedimentary rocks. Most of the granite appears
at the height of the rocks buried deep into the surface of the earth as a result of mountain formation
movements on the crust. This type of rock is widely used to sculpt statues and columns, and it is
characterized by its tolerance to the factors of sculpture and erosion more than the types of sedimentary
rocks. The granite is of great economic importance and is also used in homes such as stairs and kitchens
Aldark and Najran Brown is located only in Najran South Saudi Arabia. So, the finite difference method has
been presented to solve the heat conduction equation of the Granite. This method solves the heat conduction
equation of the Granite with the help of Matlab. Also, five numerical examples are illustrated by this method.
The results reveal that this method is very effective and prove the Granite is a material resistant to various
high temperatures.