"Warfarin sodium and other coumarin anticoagulants act by inhibiting the synthesis of vitamin K dependent clotting factors..."
"...An anticoagulation effect generally occurs within 24 hours after drug administration. However, peak anticoagulant effect may be delayed 72 to 96 hours. The duration of action of a single dose of racemic Warfarin is 2 to 5 days..." (
www.drugs.com)
Now we can see that administration of Warfarin in the evening hours doesn't related with its' pharmacology. I think the evening hours are convenient for a dose correction(a physician receive results of tests from a laboratory).