When you are born again, God takes away your heart of stone and gives you a new heart (Ezekiel 36:26). Your new heart is like rich soil for the seed of the Gospel of Christ to bring forth fruit unto salvation. Abiding faith has a heart changed to become a new creation in Christ (Romans 2:28-29; 2 Corinthians 5:17). Abiding faith, unlike temporary faith, is a gift of the Spirit of God that overcomes the world (1 John 5:4).
When you are saved by the grace of God, your heart is changed with new desires. Your heart is the mind, will, and emotions, as the term is most often used in the Bible. God works in us "both to will and to do for His good pleasure" (Philippians 2:13). A new heart includes your will changed by God's grace. God began the work of salvation in you and completes it (Philippians 1:6). Abiding faith endures to receive complete salvation in Christ.