Continually (adverb)
In a continual manner; non-stop.
Continually (adverb)
In regular or repeated succession; very often.
Continuously (adverb)
Without pause.
“The river continuously flows to the sea, it will never pause to let us cross on dry land.”
Wiktionary
Continually (adverb)
repeated frequently in the same way; regularly
“this information is continually updated”
Continually (adverb)
without interruption; constantly
“I was continually moving around”
Continuously (adverb)
without interruption or gaps
“these images loop continuously”
Continuously (adverb)
repeatedly without exceptions or reversals
“their performance has continuously improved”
Oxford Dictionary