1. The problem statement, all variables and given/known data I'd like to do a log transform on the radius variable of the heat conservation equation: qr - qr + Δr= ΔE/Δt where qr= -kA(dT/dr) My solution for this equation in cylindrical coordinates is: Tt+Δt=Tt+(Δt*k)/(ρ*c*Δr^2)* [(Tt-1-Tt)/(ln(rt/rt-1) - (Tt-Tt+1)/(ln(rt+1/rt)] 3. The attempt at a solution I've written a matlab program with this transient eq. and I'd like to be able to have r be logarithmic so that there are a lot of radius nodes for small radii and less for more distant radii. dT/dlog(r) = r * dT/dr? qr = -k(A)r dT/dr? how can I log transform the transient eq for heat conservation? I've been struggling with this..