The difference between Accelerate and Expedite

When used as verbs, accelerate means to cause to move faster, whereas expedite means to accelerate the progress of.

When used as adjectives, accelerate means accelerated, whereas expedite means free of impediment.

check bellow for the other definitions of Accelerate and Expedite

Accelerate as a verb (transitive):

To cause to move faster; to quicken the motion of; to add to the speed of.
Accelerate as a verb (transitive):

To quicken the natural or ordinary progression or process of.

Examples:

"to accelerate the growth of a plant, the increase of wealth, etc."
Accelerate as a verb (transitive, physics):

To cause a change of velocity.
Accelerate as a verb (transitive):

To hasten, as the occurrence of an event.

Examples:

"to accelerate our departure"
Accelerate as a verb (transitive, education):

To enable a student to finish a course of study in less than normal time.
Accelerate as a verb (intransitive):

To become faster; to begin to move more quickly.
Accelerate as a verb (intransitive):

Grow; increase.
Accelerate as a verb (obsolete):

Accelerate as an adjective (rare):

Accelerated; quickened; hastened; hurried.

Expedite as a verb (transitive):

To accelerate the progress of.

Examples:

"He expedited the search by alphabetizing the papers."
Expedite as a verb (transitive):

To perform (a task) fast and efficiently.