Leg burning sensation can result from a number of causes, including damage to nerves in the legs from exposure to extreme heat or cold or to toxic substances. Leg burning sensation might also result from a circulation problem that impairs blood flow to the legs, a leg injury, or intense exercise.
Swollen feet can have several different causes. They are all do to increase in the amount of fluid in your feet and ankles. Since you swelling seems to happen later in the evening, and you have no other symptoms, I would guess that your swelling is due to venous insufficiency. This is when the veins in your legs have trouble getting blood from your feet back up to your heart. It is the most common blood vessel disease.
Standing or sitting for hours at a time without getting up and walking around can cause blood to pool in your legs and feet. This isnât a serious condition, it happens only because you are not moving around. You might notice that your feet are swollen and legs feel stiff and heavy. Just walking around gets your blood flowing again and the problem is solved. A hot and humid day can also cause swelling of the legs and feet.