Understanding German train schedules

I am assuming you are doing this on the German railways site: https://www.bahn.de If not, that is what you should be using.
If you select a specific date (and you have to enter a date and time), it will only show you the trains running on that date. This is a 7 day railway. Most trains run 7 days per week.
I checked for next Sunday (14/8/16), and found one or two trains per hour, prices from €29 to €98, depending on which train you choose.
But, I can only find a "Völklingen", near Saarbrücken. I cannot find a Volklingen. Ö and O are two different letters. Maybe this is your problem.

What website are you using? You should be using bahn.de

You just put in your start and finish places and the actual day you want to travel, or the same day of the week if your travel date is far away, and it will show you all the trains that day.

https://reiseauskunft.bahn.de/bin/query2.exe/dn?ld=15097&protocol=https:&seqnr=2&ident=3t.0821597.1470514151&rt=1&rememberSortType=minDeparture&REQ0HafasScrollDir=1

There are lots of trains on Sunday, at least one per hour and sometimes three.

Please tell us the exact steps you have taken, so we can follow the path to find the problem you are facing.

Thanks for all the replies. When I double-checked my work, I realized that I had been thinking that I was leaving on a Sunday and not a Friday. What a stupid mistake. The train schedule is perfectly correct. I am going to Völklingen which is the location of the first industrial World Heritage site. So, my mistake.

If you're gonna have a smart phone with you you should download the DB app. I used it on two trips and in 4 countries. Very helpful for schedules and such. In English too.

Ö and O are two different letters.

Those two dots (umlauts) over the letter are NOT just decorations. Don't ignore them. They change the sound of the letter (in fact, umlaut means to change the sound).

Düsseldorf was a village, dorf, on the Düssel (note the umlaut) river. Dussel, in German, is a fool, so when you write Dusseldorf, you are calling it the village of fools!

Instead of just ignoring them, it is perfectly legitimate to add an 'e', ie, oe for ö or Voelkingen or Duesseldorf.

It used to be that on the Bahn website, if you wrote "Fussen", you would get a bunch of bus stops for Fussenstrasse, not Füssen Bahnhof. A few years ago, DB added what I call an "ignorance algorithm", which tries to figure out what you want, not what you wrote, so if you write "Fussen", one of the options it will suggest is Füssen. Unfortunately, there are enough locations in Germany the start with Volk, that it doesn't realize that you really meant Völk... .

Instead of just ignoring them, it is perfectly legitimate to add an 'e'

... since an ö is just an o with an e put upon it. In gothic print an e was a combination of two vertical strokes. ;)

And don't forget all those folks who wanted to go to Münster but ended up in Munster, which is a very small town in the middle of a big army shooting range. To make this less awkward for the one who misspelled Münster, they opened a tank museum at the place. If it happens to you, insist you wanted to go there.

Actually everyone was correct in regard to the umlaut. I just thought I couldn't find the town of Völklingen because I didn't see it in the drop-down window. But, when I correctly input the name using the proper spelling, the train station pops up.

So, thanks to everyone for their suggestions.

Going both to Münster/Westfalen and Munster/Õrtze (that small town near Uelzen ) are both historically very interesting for their museums. I've been to both a few times.

To make this less awkward for the one who misspelled Münster, they opened a tank museum at the place.

Nice try by them. I did my army service in Munster and no museum whatsoever will persuade me to return. ;)

It's not as bad as accidentally going to the wrong Barbie museum.

since an ö is just an o with an e put upon it. In gothic print an e
was a combination of two vertical strokes

Correct. An o is pronounced with lips rounded and the tongue in the back of the mouth. For ö, the tongue is forward in the mouth, like for an e. It's called a "gerundete vorderzungenvokale" (lips rounded, tongue forward vowel). So the old symbol for ö was an o with a superscript e, to show that the o sound was modified by pronouncing it like an e. In Sütterlin script, the old gothic hand writing, e was two slightly angled strokes, connected, and with serifs. The serifs and connecting bar were dropped and what was left were the two vertical strokes, almost like a quotation mark. To save space, printers moved the two vertical strokes to the top as two dots. My German phonetics professor insists on writing unlauts as two vertical strokes, not dots over the letter.

Yes, that tank museum was opened in 1992, (?) I think. It is ca 30 mins walk from the train station to the museum. I saw it twice, in 1992 and again in 2001, be sure set aside at least 2.5 hrs.