A fully space-adaptive multiresolution method is applied to an explicit finite volume scheme for solving a strongly degenerate reaction-diffusion system. Since a closed mathematical theory is lacking, insight into the behaviour of these systems, in particular into the spatial patterns their solutions may exhibit, can be currently obtained by numerical experimentation only. It is demonstrated that the present space adaptive scheme is an appropriate tool for this purpose. In particular, the multiresolution method and the classical finite volume scheme are compared and the numerical results show that this strategy provides substantial savings in terms of data storage and computational effort,while giving an accurate approximation to the sought quantities.
|Number of pages||8|
|Journal||Boletín de la Sociedad Española de Matemática Aplicada|
|Publication status||Published - 2009|