To solve the problems of time lag and high repetition rate of information released in the media-oriented information display of college libraries, this paper improves the media-oriented information display platform based on the numerical method of generalized differential equations. The intervals of the generalized differential equations solutions for the media-oriented information display of college libraries are discretized using a grid to obtain sub-intervals. The points on the grid for each subinterval are approximated continuously using the K-step edge-value method to obtain the information dissemination cycle solution. The bifurcated periodic solution is used to check the obtained information release period solution, and the final information update period is 7 days. The results of improving the media-based information display platform of university libraries and putting it into operation of university libraries show that: Using the information update cycle determined by the generalized differential function to improve the media-based information display platform of university libraries, the repetition rate of language information release decreases from 30% to 10%. The working hours of librarians were reduced from 5 hours per week to 3.5 hours per week. It can be seen that after improving the media-based information display platform of university libraries based on the numerical method of a generalized differential equation, the repetition rate of information release and the work efficiency of librarians of the platform is improved.