Previous investigations have shown that recovery of swallowing functions occurs from reorganization ("rewiring") of the non-involved cerebral hemisphere. In this study, we propose to investigate a new intervention, which combines, swallowing exercises with brain stimulation targeted to the non-involved cerebral hemisphere, using low intensity current in acute. We will only be enrolling hospitalized stroke patients. We plan to assess the safety of this technique in this patient population and also assess its effect on improving swallowing functions and swallowing physiology. During this time trial participants will undergo standardized swallowing and neurological assessments as well as brain MRI scans.