4. Appendices
4.1 Mathematical formalism of system dynamics
You don't need to master the mathematics behind system dynamics. But "lifting the hood" will give you a better understanding of the mathematical workings of system dynamics tools.
Continuous change over time is mathematically expressed by a differential equation. To solve this numerically on a computer, finite-difference equations are used, which calculate the value of a state (function) at successive instants separated by a time interval. The smaller the time interval, the better the approximation of the function.
These finite difference equations are generally expressed as :
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