The combination of the specific absorption rates induced in human head due to multiple independent electromagnetic field sources is computed numerically. The scenario of this paper considers a human making a mobile call by a GSM-900 handset of internal antenna while working on a Laptop computer with Wi-Fi-enabled dipole-antenna broadcasting at 2.4 GHz. The mobile phone in hand and in close proximity to head at check-position is adopted, whereas, the Laptop computer having different Wi-Fi antenna orientations and positioned at different places, with respect to head, are examined. The results show how the specific absorption rates in head are combined when exposed to both sources, simultaneously. The numerical computation is achieved using a high resolution FDTD gridding; solved by a 3-D full-wave electromagnetic simulation software on a high performance workstation machine with Tesla GPU accelerator.