MATSLISE: Calculating the eigenfunctions |
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The Eigenfunction-plot window
In this window a plot is displayed of one specific eigenfunction selected by the user.
n
points, where n
is the content of the Number of points-field.
The function-values in these n
points are then connected by a blue solid line which forms the plot of the
eigenfunction.
The Update-button
The user can change the X-interval to be plotted:
When an new interval [x1,x2]
is entered in the X-interval-
fields or the number of points n
is changed and the Update-button is pressed, then n
points are taken in the interval
[x1,x2]
. In these n
points the value of the eigenfunction is
calculated and plotted. So this functionality can be used to
focus on a part of the eigenfunction or to make a smoother plot of the eigenfunction when the number of points was taken too
low.
The Show Values-button
By clicking the Show Values
-button the values of the (n
) mesh-points
and eigenfunction-evaluations can be consulted and saved in the base-workspace.
The Close-button
With a click on this button, the window is closed.
The File-Menu
The Edit-Menu
The Options-Menu
The Extra-Menu
Two options to test the correctness of the eigenfunction:The Help-Menu
Note: In order to obtain accurate eigenfunctions it is important to choose a low value for the input tolerance (tol), in other words: the eigenvalue must be sufficiently accurate to plot the associated eigenfunction.
![]() | The Eigenfunctions window | Eigenvalues window: parameterized version |
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