1.Develop a computer program using a fully implicit scheme and Gauss elimination solver to study the transient temperature distribution and rate of heat transfer for. Present results in terms of temperature distribution and heat transfer rates at left and right surfaces with a time step of t ¼ 0:2 s up to 5 s. Perform a mesh refinement study by using the number of elements as 10, 15, and 20. Present results for the variation of heat transfer rate at x ¼ L with an increase in time for different numbers of elements.

2.Based on developing a computer code that uses a matrix inversion procedure with a Gauss–Jordan solver.