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Solving Differential Equations in R
Citation:
SOETAERT, K. E., T. PETZOLDT, AND R. W. SETZER. Solving Differential Equations in R. Peter Dalgaard (ed.), The R Journal. The R Foundation, Vienna, Austria, 2(2 ):5 - 15, (2010).
Impact/Purpose:
The inclusion of boundary value problems (BVP) and partial differential equations (PDE) solvers have opened up the application area to the field of reactive transport modelling (Soetaert and Meysman, 2010), such that R can now be used to describe quantities that change not only in time, but also along one or more spatial axes. We use it to model how ecosystems change along rivers, or in sediments, but it could equally serve to model the growth of a tumor in human brains, or the dispersion of toxicants in human tissues.
Description:
Although R is still predominantly applied for statistical analysis and graphical representation, it is rapidly becoming more suitable for mathematical computing. One of the fields where considerable progress has been made recently is the solution of differential equations. Here we give a brief overview of differential equations that can now be solved by R.