Homework 9, due November 10, 2011.

Due at noon, Thursday, November 10, 2011.
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goodwine
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Homework 9, due November 10, 2011.

Post by goodwine »

Reading: You should have read the entire chapter on Numerical Methods except for the section on numerical methods for partial differential equations, i.e., read 12.1 - 12.5.

Exercises: 12.8, 12.11, 12.12 and 12.14.
Bill Goodwine, 376 Fitzpatrick
sschwane

Re: Homework 9, due November 10, 2011.

Post by sschwane »

Professor,

On Problem 12.11, for a time step of 1, both my 4th order Runge Kutta and 2nd order Runge Kutta are equal to the exact solution at t=3. Is this ok? I wasn't sure because the program asks us to compare the error of different time steps.

Thanks
goodwine
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Re: Homework 9, due November 10, 2011.

Post by goodwine »

sschwane wrote:Professor,

On Problem 12.11, for a time step of 1, both my 4th order Runge Kutta and 2nd order Runge Kutta are equal to the exact solution at t=3. Is this ok? I wasn't sure because the program asks us to compare the error of different time steps.

Thanks
The point of the problem is that whenever we derived any equation for numerical methods, it was based on f(x(t),t). For specific f(x,t) it may be the case that all methods seem to have the same order. Explain what you are seeing in this problem, and much, much, much more importantly, why you are seeing it.
Bill Goodwine, 376 Fitzpatrick
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