Finite Difference Schemes for the Determination of Thermal Coefficient and Analysis of its Variation with Time

In this paper, numerical solution of thermal conduction problem has been analyzed. Three Finite difference schemes have been derived for the determination of thermal coefficient and for temperature distribution at different time levels. Moreover, by using derived schemes a test problem has been solved and computed results have been compared with exact solutions for different time level, it reveals accuracy of these schemes as well as the physical behavior of the test problem. The general pattern which has been observed is that with passage of time temperature distribution increases.