By the look of things, the only way would be of filing a Divorce petition,
in this, the only speedy relief you'll get is an Ex-Parte divorce Decree i.e. she doesn't appear in court for contesting the matter. as you told that she won't be willing to come and contest the matter, this is the way you can get a divorce decree.
It will take considerable amount of time, which would be around 4-7 months, as the court would provide ample time to your wife to appear herself or hire a counsel on her behalf.
There are certain more ways to prove desertion on her part, or to prove some cruelty or any other ground of divorce in court, for this, a detailed explanation and meeting is required.