Get next and previous pages links based on page order

WP provides functions to get previous and next page links for a page, but is is based on the chronological order.

I want to get the previous and next page links of a page based on the page order value, not time.

By page order, i mean the content of the order field of a page, that you can edit when you edit the page or by doing a quick edit from the list of pages.

Please advise.