Heun Method - Exercise 4 Solution

Numerical Methods for Solving Differential Equations

Heun's Method

Mathematica Implementation

(continued fromÌýlast page...)

Solution to Exercise 4

Solution
Name		 Differential
Equation		 Initial
Condition		 Solve
up to		 Number
of Steps
heunex4 ²â′Ìý=Ìý(³æÌý-Ìý²â)2 y(0)Ìý=Ìý0.5 xÌý=Ìý0.5 20

Your solution, in tabular form, should have looked something like this:

Table

And your plot of this solution should have looked something like this (though your points may not have been this size, or in color):

Plot

If your solution doesn't match what you see here, then go back toÌýMathematicaÌýand carefully check the parameters that you passed to theÌýheunÌýprogram. If necessary, change them, and reevaluate the commands.

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