Chapter Numerical Methods

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Chapter Numerical Methods
Using computers to solve equations with many
calculations
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State Equations
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Example
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Example
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A Special Case
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Example
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Numerical Integration
1. Generate the differential equations to model
the process. 2. Select the state variables. 3.
Rearrange the equations to state variable
form. 4. Add additional equations as required. 5.
Enter the equations into a computer or calculator
and solve.
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Example
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Numerical Integration
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Example
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In C
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In Scilab
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Higher Order Approximations
Taylor Series
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Runge Kutta
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Example Calculation
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Cont'd
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C Program
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In Scilab
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Steady State Response
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Integrating Experimental Data
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Switching Functions
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Example
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Interpolating Experimental Data
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Non-linear equations