Looking on the internet deeply has found these results:

at the western end is the most popular phrase on the web.

on the western end 12,350,000 results on the web	at the western end 12,500,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
I'm not planning on presiding over the end of Western civilization. I have stared into the high end of western society and let me tell you, it is like shoveling an open sewer. The other area is at the far western end of the Malaga coast. I'm not planning on presiding over the end of Western civilization. It's our generation that is witnessing the end of Western predominance. On 30 July 2002, the UN Security Council unanimously approved resolution 1429 on the Western Sahara. It was the largest undertaking of its kind on the western borders of Russia since the end of the Cold War. On the western ramparts, the situation is even worse.	I know the man at the western gate well. He just left his gun at the western mountain. I'm not planning on presiding over the end of Western civilization. I'm not planning on presiding over the end of Western civilization. I have stared into the high end of western society and let me tell you, it is like shoveling an open sewer. You slaughtered everybody at the Western 7 Quarantine Zone... doctors, soldiers. The other area is at the far western end of the Malaga coast. I will leave you at the western borders of the forest.

on the western end

12,350,000 results on the web

at the western end

12,500,000 results on the web

More popular!

I'm not planning on presiding over the end of Western civilization.
I have stared into the high end of western society and let me tell you, it is like shoveling an open sewer.
The other area is at the far western end of the Malaga coast.
I'm not planning on presiding over the end of Western civilization.
It's our generation that is witnessing the end of Western predominance.
On 30 July 2002, the UN Security Council unanimously approved resolution 1429 on the Western Sahara.
It was the largest undertaking of its kind on the western borders of Russia since the end of the Cold War.
On the western ramparts, the situation is even worse.

I know the man at the western gate well.
He just left his gun at the western mountain.
I'm not planning on presiding over the end of Western civilization.
I'm not planning on presiding over the end of Western civilization.
I have stared into the high end of western society and let me tell you, it is like shoveling an open sewer.
You slaughtered everybody at the Western 7 Quarantine Zone... doctors, soldiers.
The other area is at the far western end of the Malaga coast.
I will leave you at the western borders of the forest.