Course in Differential Equations with Modeling Applications
Dive into differential equations by modelling river pollutant transport and decay. Link ODE and PDE techniques, interpret key parameters, and transform complex results into straightforward insights for environmental and engineering decisions. Build practical modelling skills for real-world river challenges, from mass balance derivations to clear risk communication.
from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course equips you with skills to model pollutant transport and decay in rivers using differential equations. You will derive ODE and PDE models from mass balance principles, solve advection-decay equations, analyse steady states, and compare compartment versus distributed models. Gain expertise in managing units, estimating parameters, evaluating model limits, and presenting risks and findings to non-experts effectively.
Elevify advantages
Develop skills
- Build mass-balance ODE models from inflow, outflow, and decay rates.
- Solve advection-decay PDEs using the method of characteristics.
- Compare ODE and PDE models to select appropriate mixing assumptions.
- Estimate parameters like velocity, area, decay rates, and residence times.
- Communicate pollution risks in simple terms for public guidance.
Suggested summary
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