The use of ¹³C(d,n)¹⁴N reaction at E_d = 1.5 MeV for accelerator-based boron neutron capture therapy (AB-BNCT) is investigated. Among the deuteron-induced reactions at low incident energy, the ¹³C(d,n)¹⁴N reaction is one of the best because of the advantages of carbon as a target material and its large cross section. The deuteron beam was produced by a tandem accelerator at MIT's Laboratory for Accelerator Beam Applications (LABA). The resulting neutron spectra were evaluated in terms of RBE-dose rates at different depths inside a water-filled brain phantom using a heavy water moderator and lead reflector assembly. Dosimetry results were obtained using the dual ionization chamber technique for fast neutrons and photons and bare and cadmium-covered gold foils for the thermal neutron flux. The RBE-doses in tumor and healthy tissue were calculated from experimental data assuming a tumor ¹⁰B concentration of 40 ppm and a healthy tissue ¹⁰B concentration of 11.4 ppm. All results were simulated using the code MCNP, a Monte Carlo neutron and photon transport code. Experimental and simulated results are presented at 1,2,3,4,6,8 and 10 cm depths along the brain phantom centerline. An advantage depth of 5.6 cm was obtained for a treatment time of 56 minutes assuming 4 mA deuteron current.