border vs bound

border and bound both are nouns.

Word	Noun	Adjective	Verb	Adverb
border	Yes	No	Yes	No
bound	Yes	Yes	Yes	No

As nouns, bound is a hypernym of border; that is, bound is a word with a broader meaning than border:

Other hypernyms of border include boundary, bounds.

As nouns, bound is a hypernym of border; that is, bound is a word with a broader meaning than border:

Other hypernyms of border include boundary, bounds.

As nouns, bound is a hypernym of border; that is, bound is a word with a broader meaning than border:

Other hypernyms of border include boundary, edge.

As verbs, border and bound are synonyms defined as:

border (noun)	bound (noun)
a strip forming the outer edge of something	a light, self-propelled movement upwards or forwards
a decorative recessed or relieved surface on an edge	the greatest possible degree of something
a line that indicates a boundary	the line or plane indicating the limit or extent of something
the boundary of a surface	a line determining the limits of an area
the boundary line or the area immediately inside the boundary

border (adjective)	bound (adjective)
	confined by bonds
	secured with a cover or binding; often used as a combining form
	held with another element, substance or material in chemical or physical union
	confined in the bowels
	headed or intending to head in a certain direction; often used as a combining form as in `college-bound students'
	bound by an oath
	covered or wrapped with a bandage
	bound by contract
	(usually followed by `to') governed by fate

border (verb)	bound (verb)
lie adjacent to another or share a boundary	place limits on (extent or amount or access)
extend on all sides of simultaneously; encircle	spring back; spring away from an impact
enclose in or as if in a frame	move forward by leaps and bounds
provide with a border or edge	form the boundary of; be contiguous to
form the boundary of; be contiguous to