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Technique Narrative

2-005-LinearizeItAll-TechniqueNarrative

Author(s): Don Hickethier

Flathead Valley Community College, Kalispell MT USA

Keywords: computation error Torricelli's Law data fitting linear approximation

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Abstract

Resource Image Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained.

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Description

A simple model using Torricelli's Law will compare the exact solution to the nonlinear ODE model with its first order approximation.

Students should have seen the derivation of this ODE.

The concepts of experimental, approximation, and computational errors in modeling are explored.

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Authors

Author(s): Don Hickethier

Flathead Valley Community College, Kalispell MT USA

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