Knowledge graphs of online courses for intelligent education rely heavily on research into knowledge graph generation and visualization technologies; yet, this area has a problem with incorrect performance placement. The problem of incorrect construction and location in the knowledge graph of online courses for intelligent education is too big for the conventional bee colony algorithm to handle, and the output is inadequate. Therefore, this study presents and evaluates research on the building and visualization technologies of online course knowledge graphs for intelligent education, and it uses particle swarm arithmetic to inform its findings. We start by applying swarm intelligence theory to identify the factors that will have an impact, and then we divide the indicators according to the requirements of knowledge graph construction and visualization technology research, with the goal of reducing interference factors in this field. After that, we take a look at the results of our study on knowledge graph creation and visualization technology by applying particle swarm arithmetic to a scheme we made using swarm intelligence theory. While researching knowledge graph construction and visualization technology, the MATLAB simulation results show that Particle swarm arithmetic works better than the typical Bee colony method under specific evaluation circumstances in terms of accuracy and time of influencing factors.