All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
We have already clarified the method of performing ablution for a woman who has continuous discharges in Fatwa 91095, so please refer to it. As regards the method of performing the prayer for a woman who has continuous discharges, in performing two obligatory prayers at one time with one ablution, then the scholars differed in opinion in this regard. the most preponderant opinion, however, is that she is permitted to combine two obligatory prayers at one time with one ablution. Imaam Ahmad said: 'She may perform, with that ablution, a supererogatory prayer and the last obligatory prayer, until the beginning time of the next prayer comes, then she has to perform ablution again.' Ibn Qudaamah said: 'Her purity remains as long as the time of the prayer remains, it is permissible for her to offer supererogatory prayers with that ablution, and perform the obligatory prayer that she missed, and she may combine two prayers, as long as her ablution is not nullified by another nullifier other than her usual one (the continuous discharges), and as long as the time of the prayer has not expired... It is also permissible for a woman who has blood discharges outside her usual monthly menses to combine two prayers with one ablution.'
Finally, it should be noted that you should not neglect a prayer until its time is over except if you have a sound religious reason. For more benefit, please refer to Fatwa 82961.
Allaah Knows best.