The non-linear version of the Canonical Profiles Transport Model (CPTM), which includes both heat and particle transport equations, is used to simulate core and pedestal plasma for JET, and MAST H-mode shots. Simulations show reasonable agreement with experiment for both ELMy and ELM-free shots. RMS deviations of calculated results from the experimental ones are on the level 10-12% in main. The calculated ion and electron temperatures are very insensitive to the change of the deposited power profiles. The calculated pedestal temperature rapidly increases with plasma current; density profile peaking increases at low collisionalities.