Polygonal Approximation 4

Approximation of Differential Equations I. Polygonal Method Worksheet 4 of 4: 1. Step-by-step construction: [url]http://www.geogebratube.org/material/show/id/27865[/url] 2. Transfer the procedure to the Spreadsheet view: [url]http://www.geogebratube.org/material/show/id/27754[/url] 3. Improvement: add a term in the Taylor expansion: [url]http://www.geogebratube.org/material/show/id/29108[/url] [b]*4. Comparison of formulas:[/b] -vary h -choose two or three terms from the Taylor expansion. -correction formula (following Tenenbaum and Pollard, [i]Ordinary Differential Equations[/i], Lesson 44) Additional free parameters: -constant coefficients in the differential equation -initial values I have also included a direction field ____ These materials are self-instructional. If they can be of use to you, let me know how to make them better. I have not explained the error calculation or the formulas I made for the lists of points. I am happy to fill in this missing information if it will be of use. Also, if my methods are slow and klunky, tell me!


Ryan Hirst

Resource Type
approximation  differential  equation  equations  methods  series  starting  taylor 
Target Group (Age)
English (United States)
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