Differential Equations › Section H · Boundary value problems and Fourier series › Topic H.5
Fourier cosine series
When the ends of a rod are insulated instead of held at zero, the natural building blocks are cosines and a constant rather than sines. The cosine series works just like the sine series, with one extra term that carries the average value of the function.
In this topic
- Cosines for insulated ends
- The coefficient formulas
- Even functions and the even extension
- Worked example: a ramp
- Worked example: a sine as cosines
- Worked example: a half-hot rod
- Applied example: an insulated rod
- Sine or cosine?
- Common mistakes to avoid
- Key takeaways
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