Use the:

- forward Euler (theta=1)
- backward Euler (theta=0)
- trapezoidal (theta=0.5) also known as Crank-Nicolson

to show how well do the three cases compare for the following first order differential exponential decay problem:

y' + ay=0 with initial condition y(0)=1

and second order harmonic oscillator problem:

y'' + y=0 with initial condition y(0)=1, y'(0)=1

Different step sizes should be used for each problem, 3 would be enough, to be plotted on the same graph.

Subject | Mathematics |

Due By (Pacific Time) | 10/05/2015 01:00 pm |

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