Akshardham is the divine abode of Swaminarayan by his followers. The followers of Swaminarayan believed that the jiva or soul goes to Akshardham after salvation to attain moksha. Akshardham also known as Gunatit/Brahmarup (Like Brahman)/Chidakashrup/Param Bhagwat Sant is referred to as the eternal state the followers of The Swaminarayan Sampraday receive it generally means going above the three modes of nature/maya that is satva, tamas, rajas this state is a state of enlightenment, the eternal goal in a follower's life is to reach this elevated position. 
It is made from the words Akshar meaning indestructible and Dham meaning abode or home. Hence, Akshardham is the immortal abode of God or the abode of Swaminarayan. This is a common term used in the Swaminarayan Hindu philosophy.
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