# Is heat transfer, for a fixed time step, constant in transient problems?

So to further explain question in the title, this is my thinking process behind it. I recently been doing some steady state heat transfer problems, most of them I solved with the same algorithm. I was just calculating thermalr resistance of a system and then based on temp difference, eventually calculated heat transfer rate.Then assuming that heat transfer rate is constant, I was able to calculate temperature distribution in the system.

Now I'm onto dealing with transient problems. I was thinking if I can apply the same assumption, so that at fixed time step, heat transfer is constant.I want to understand if it's applicable, because I thought of different algorithm for solving the problem.

Namely I wanted to treat each of the time steps of a problem as steady state one. Knowing temperatures at a boundary and thermal resistances, I would calculate temperature distribution at the next timestep, which will be an input for the same calculations for new timestep. Is it a valid assumption or did I miss something?