[i]Polygonal Approximation[/i] of Differential Equations Worksheet 2- Automate the procedure using the Spreadhseet _____________ Polygonal Approximation: 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 to the Taylor expansion: [url]http://www.geogebratube.org/material/show/id/29108[/url] 4. Comparison; corrector formulas: [url]http://www.geogebratube.org/material/show/id/29107[/url]
The solution to these equations is known, and is shown in blue, so that the accuracy of the approximation can be examined for different sizes of h, and coefficients of the system. In the spreadsheet, the approximation begins at the known value, (x0, y0), and is carried out to 25 steps.