I am trying to solve the heat equation with both conduction and advective terms:
where v=u*Cw/Cv, alpha is a constant. According to the literature the temperature frequency cariation solution of equation 1 is:
where T0 and omega are constants. To get the actual temperature (T) value I am trying to use the Gaver-Stehfest numerical inversion. However, the values I get are not realistic, while my input parameters are fine. What am I doing wrong?