Faith is not the absence of doubt. It is a decision to trust in God's promises in the face of our doubts. To doubt is to be human, it is the human struggle. To trust even though we have doubt is pleasing to God. This is the kind of faith that is pleasing to God: trusting him in the presence of doubt. Don't focus on trying to rid yourself of doubts. Rather, use your doubts as an occasion, a springboard to trust God's promises.
When the doubts come say to yourself: "Whatever I think or feel that unsettles me is not the truth. I choose right now to trust God and not my fleeting thoughts and emotions." This is how faith grows: In the presence of doubt. The journey of faith in the face of doubt is a lifelong process. As you trust day by day in the face of your doubt, know that your faith is growing.
"Blessed is the one who trusts in Lord, whose confidence is in Him. They will be like a tree planted by the water" (Jer. 17:7a).