In a small bowl, melt the butter in the microwave, and let cool.
In a large mixing bowl mix together the flour, cinnamon, nutmeg, baking powder, salt, baking soda, brown sugar, and granulated sugar.
Add the cooled butter, eggs, and vanilla. Mix until smooth.
Fold in the apples and spoon the batter into the bundt pan.
Bake 50-60 minutes until a tester inserted into the center of the cake comes out clean.
Cool in the pan for about 10 minutes, while the cake is cooling in the pan, mix together the apple and 1 cup of sugar to make the glaze.
After the cake cools in the pan for 10 minutes, invert onto a cooling rack (the cake should still be warm.
Place some baking paper under the cooling rack to catch any glaze that drips off the cake.
Glaze the outside of the entire cake (you can use the glaze that drips off onto the paper beneath by scarping it onto a spoon). Leave to cool another 20 minutes to allow the glaze to set into a crispy coating.