Abstract
Engineers develop mathematical models to describe processes of interest to them. For example, the process of converting a reactant A to a product B in a batch chemical reactor can be described by a first order, ordinary differential equation with a known initial condition. This type of model is often referred to as an initial value problem (IVP), because the initial conditions of the dependent variables must be known to determine how the dependent variables change with time. In this chapter, we will describe how one can obtain analytical and numerical solutions for linear IVPs and numerical solutions for nonlinear IVPs.
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White, R.E., Subramanian, V.R. (2010). Initial Value Problems. In: Computational Methods in Chemical Engineering with Maple. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04311-6_2
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DOI: https://doi.org/10.1007/978-3-642-04311-6_2
Publisher Name: Springer, Berlin, Heidelberg
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