The theme of this chapter was to review differential equation models of diffusion phenomena that have been developed in various fields of research and to conduct a comparative review of the models through the application of actual data. Among the many models created for diffusion phenomena, the models examined in this chapter are large number models that explain macro changes. These models were developed in various research fields. However, comparing these models reveals that although many models are used only for individual fields of study, mathematically similar models are often observed. It is not necessarily apparent the type of model that would be most effective for any specific diffusion phenomena case. Applications of specific models can be observed by reviewing individual research examples. However, the effectiveness of each model is not clarified in the absence of a comparison across various models. The purpose of this chapter was to apply various models to different types of data, and thereby verify the suitability of each model to specific phenomena.
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