A numerical scheme for non-local aggregation with non-linear diffusion and approximations of social potential
Authors: Georgiou Fillipe Harry , Lamichhane Bishnu , Thamwattana Natalie , Buhl Jerome , Green Edward 
Published: March 2022

Aggregations abound in nature, from cell formations to locust swarms. One method of modelling these aggregations is the non-local aggregation equation with the addition of degenerate diffusion. In this article we develop a finite volume based numerical scheme for this style of equation and perform an error, computation time, and convergence analysis. In addition we investigate two methods for approximating the non-local component.
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