{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# ode03 - Mathematical Modeling Using Differential Equations...

This preview shows pages 1–4. Sign up to view the full content.

First Prev Next Last Go Back Full Screen Close Quit Mathematical Modeling Using Differential Equations: Models from Physical Laws and Conservation Laws September 25, 2008

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
First Prev Next Last Go Back Full Screen Close Quit Mathematical modeling is a basic tool for scientists and engineers in doing their researches and projects . And we talk about the general process of modeling which uses ODE’s. 1. Formulating a model : using differential equa- tions; 2. Analyzing the model : solving the established differential equations; 3. Interpreting the phenomena : understanding the solution behavior.
First Prev Next Last Go Back Full Screen Close Quit ODE models from physical laws . Look at the follow- ing examples . 1. Vertical motion(Newton’s law). Without air re- sistance : v = - g With air resistance : v = - g - kv / m 2. Circuits(Kirchhoff’s voltage law: the sum of the voltage changes around a closed loop is zero). The

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}