This trial will enroll 15 participants in each of three exercise conditions in order to study the feasibility and efficacy of lingual endurance training to improve aspects of swallowing for those with persistent dysphagia after ischemic stroke. The three groups are: 1) lingual endurance training, 2) lingual endurance training + transference exercise, and 3) no exercise. The primary outcome measures are patient adherence and improvement on videofluoroscopic assessment of swallowing function. Secondary outcome measures include oropharyngeal residue, airway invasion, and patient reported swallowing quality of life.