The difference between Abide and Hold on

When used as verbs, abide means to endure without yielding, whereas hold on means to grasp or grip firmly.

check bellow for the other definitions of Abide and Hold on

Abide as a verb (transitive):

To endure without yielding; to withstand; await defiantly; to encounter; to persevere.

Examples:

"The old oak tree abides the wind endlessly."
Abide as a verb (transitive):

To bear patiently; to tolerate; to put up with; stand.
Abide as a verb (transitive):

To pay for; to stand the consequences of; to answer for; to suffer for; to atone for.
Abide as a verb:

Examples:

"The new teacher was strict and the students did not want to abide by his rules."
Abide as a verb (intransitive, obsolete):

To wait in expectation.
Abide as a verb (intransitive, obsolete):

To pause; to delay.
Abide as a verb (intransitive, archaic):

To stay; to continue in a place; to remain stable or fixed in some state or condition; to be left.
Abide as a verb (intransitive, archaic):

To have one's abode; to dwell; to reside; to sojourn.
Abide as a verb (intransitive, archaic):

To endure; to remain; to last.
Abide as a verb (transitive, archaic):

To stand ready for; to await for someone; watch for.
Abide as a verb (transitive, obsolete):

To endure or undergo a hard trial or a task; to stand up under.
Abide as a verb (transitive, archaic):

To await submissively; accept without question; submit to.

Hold on as a verb:

To grasp or grip firmly.

Examples:

"'Hold on tightly to the railing."
Hold on as a verb (idiomatic):

To keep; to store something for someone.

Examples:

"'Hold on to my umbrella while I ride the roller coaster."
Hold on as a verb (idiomatic):

Wait a short while.

Examples:

"'Hold on while I get my coat."
Hold on as a verb (idiomatic):

To remain loyal.

Examples:

"He didn't give up his fandom when others did; he held on."
Hold on as a verb (idiomatic):

To persist.