Database connection failed due to Unknown MySQL server host 'intellecttodayorg'

$db_server - this is where I am supposed to type the hostname for the database.

So, I replace that with the hostname, as such:
$intellecttoday.intellecttoday.org

However, the script seems only to want to take the last part of that, and get rid of the periods, as seen above.

What would I need to do to resolve such a problem?

Thank you!

Try:

$db_server = $intellecttoday.'intellecttoday.org';

or
$db_server = 'localhost';