wilful vs self-willed

wilful and self-willed both are adjectives.

Word	Noun	Adjective	Verb	Adverb
wilful	No	Yes	No	No
self-willed	No	Yes	No	No

As adjectives, wilful and self-willed are synonyms defined as:

wilful and self-willed: habitually disposed to disobedience and opposition

Other synonyms of wilful include froward, headstrong, willful.

wilful (adjective)	self-willed (adjective)
habitually disposed to disobedience and opposition	habitually disposed to disobedience and opposition
done by design