indulging vs splurge

indulging and splurge both are nouns.

Word	Noun	Adjective	Verb	Adverb
indulging	Yes	No	No	No
splurge	Yes	No	Yes	No

As nouns, splurge is a hyponym of indulging; that is, splurge is a word with a more specific, narrower meaning than indulging:

Other hyponyms of indulging include intemperance, intemperateness, self-indulgence, excess, overindulgence, binge, orgy.

indulging (noun)	splurge (noun)
the act of indulging or gratifying a desire	any act of immoderate indulgence
	an ostentatious display (of effort or extravagance etc.)

indulging (verb)	splurge (verb)
	be showy or ostentatious
	indulge oneself