The present invention discloses a method and system for the rapid charging of a lithium-ion battery. A charging algorithm is applied to modify a charging pulses frequency, duty cycle and amplitude depending on the measurement of the battery temperature. The charging algorithm is based on the chemical Diffusion Coefficient of the battery, with this Diffusion Coefficient, in turn, dependent on the type of solvent system, the type of electrolyte, and the temperature of the battery.