IPhone 5c not recognizing charger/charging?

Question

I've had my 5c for about 3 weeks, and its seems like its not charging properly, at least when connected to an outlet. It runs out of battery (frequently I might add), and shows the "charge me" icon of empty battery and charger plug. When I plug it in the empty battery picture stays for a bit, and then the screen goes black. Touch the lock button, and the picture returns. I've had it on the wall outlet for about 4 hrs this evening and I couldn't even get it to turn on. When I take it off the charger, it tells me that is out of batteries again. However, when I plugged it into the computer, it immediately turned on and said 99% battery.
(Note: Everything in my house is apple, but this is my first iPhone) Is this an actual problem or is it user error?

Answer 1

I thought about that,  I tried multiple cables and the problem occured on them all.  It seems to be hit and miss when it recognizes the charger being connected.   If it is the cable that is at issue then it is a problem that Apple is responsible for,  all the cables are Apple Branded ones and at $30 a cable it is getting expensive.  A great money making machine for Apple.   Never had any problems with the old 30 pin cables on the iPhone 4 and 4S and those cables are still working.
Incidentally the issue still occurs with a brand new cable I bought though it seems to be more hit and less miss with that one and the problem is also occuring if I use a 30 pin dock with the adapter attached to that.  
I'm tired of spending on Apple Cables and it makes buying an Android device more appetizing every time I have to chuck away another $30 + Sales Tax.  In fact the cable that came with the iPhone came apart in the first 14 days of owning so I have been a regular buyer of Apple Lightning cables since I bought the phone.