The Euler's method implementation in java

We want tyo introduze a java implementation of Euler's method. The program comes witth the execution of our default initial valule problem


with



We want to remind that, as we seen at Runge-Kutta method's section the Euler's method obtain following step from the actual one.



Note: In our java class, we are using the x as independent variable and y as dependent variable, the formula is in this case



Euler mehod in java

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Compilation


> javac Euler.java

Execution


> java Euler


In the implementation we have choose a size step h=0.

We want to show a table with all steps and errors obtained for each node in interval [0, 1] of our example.








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