Approximation of Differential Equations
(satisfying given initial conditions)
I. Polygonal Method
Worksheet 2 of 4:
1. Step by step construction [url]http://www.geogebratube.org/material/show/id/27865[/url]
[b]*2. Use the Spreadsheet. [/b]
3. Improvement: add a term in the Taylor expansion: [url]http://www.geogebratube.org/material/show/id/29108[/url]
4. Comparison; with corrector formulas: [url]http://www.geogebratube.org/material/show/id/29107[/url]
I chose a limited class of equations with known solutions so that the solution can be viewed simultaneously with the approximation.
My Materials are self-instruction. If they can be of some use to you as well, let me know how I can make them better.
For example, in this worksheet, I can expand the class of equations, and provide a text parser for user input.
