The coupled amplitude equations of stimulated Brillouin scattering in optical fibers are numerically solved with fourth-order Runge-Kutta formula and characteristics methods, the influences of gain, energy, and Full Width at Half Maximum (FWHM) of injected triangular wave Stocks pulses on time delay and pulse broadening are investigated. The results show that the time delay and pulse broadening depend on the gain, energy and FWHM of the triangular pulses. The maximum time delay increases with the injected pulses energy decreasing. Smaller FWHM of pulse induces larger relative time delay. The maximum time delay and less pulse broadening can be obtained by optimizing the gain, energy, and FWHM of injected triangular wave Stocks pulses. These results provide reference for designing novel optical communication or sensing components.