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electrical to thermal radiant
You can purchase a camping stove at any major discount retailer like Target or WalMart, as well as at any camping/sporting good store. Stores that specialize in outdoor sports and wilderness camping can also help you choose the stove that best for you.
Lightweight stoves or cooking fores are a great option to use when camping or hiking. The lightweight stove is light enough to carry to the desired camping spot, whereas a regular stove is not.
combustion
Coleman has a good run of the mill camping stove, but if you are looking for something lightweight and portable this may not be for you. The SnowPeak Lite Max is a stove I can recommend from experience. While it is nothing fancy it is definitely portable and is priced reasonably.
chemical energy to heat energy
The electrical energy is converted to heat.
It is a chemical energy process.Charcoal (ie.carbon) is burned down to produced carbon dioxide and heat is liberated.
You would boil the contaminated water in the camping stove with the handkerchief above it, ensuring it doesn't droop into the water itself, then wringing it into the cup to gather water.
because you are stupid
There are specific Dutch ovens made for camping, which have three legs and a wire bail handle. It can be balanced over a fire easily. However, I'm sure a standard Dutch oven can be used on a camping stove, as one would use it on a regular stove.
It IS not energy; it HAS energy.