MATSLISE: (Regular) Sturm-Liouville equation |
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The Construct-button
When the Construct-button is clicked the SLP is transformed into a
Schrödinger problem (the Liouville transformation). The partition
for this Schrödinger problem is generated and a second window (Eigenvalues-window)
is opened where the user starts the calculation of the eigenvalues (E
) of the original SLP.
When the user entered several values for a parameter (e.g. 1:5
),
then for each value a separated problem is constructed and in
further stages the user can solve each of this problems and
compare the solutions (See Eigenvalues window: parameterized version).
The partition is generated only once and it is never modified further on (unless one of the interval limits was set to inf
)
: this means that
in the Eigenvalues-window several sets of eigenvalues (of the same problem)
can be calculated one after the other,
without recalculating the partition. MATSLISE is therefore particularly suited for calculating
large sets of eigenvalues.
Note: Since for every function evaluation in the partitioning process, the (time-consuming) Liouville-transformation must be performed, the construction of the partition for a Sturm-Liouville problem needs in general more time than for a Schrödinger problem.
The Stop-button
A click on the Stop-button interrupts the calculations.
The Plot Potential-button
After the Construct-button has been pressed, it is possible to plot the
potential. The Plot potential-button generates a plot of the potential
function (V(x)
) of the corresponding Schrödinger-problem
(The potential plot window).
The Exit-button
The whole MATSLISE-application is closed when the Exit
-button is pressed.
![]() | The Sturm-Liouville problem | The File-Menu |
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