NONE 20260428090618798 wseas/wseas content-registration-form+ja@crossref.org content-registration-form WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS 1991-8747 2224-3429 Mohamed Karimou Gazibo École Normale Supérieure, Département de Mathématiques, Université Abdou Moumouni, Laboratoire de Mathématiques Fondamentales et Applications (LMFA) BP: 10963 Niamey, NIGER Abdou Aboubacar École Normale Supérieure, Département de Mathématiques, Université Abdou Moumouni, Laboratoire de Mathématiques Fondamentales et Applications (LMFA) BP: 10963 Niamey, NIGER Mahaman Kabir Mahaman École Normale Supérieure, Département de Mathématiques, Université Abdou Moumouni, Laboratoire de Mathématiques Fondamentales et Applications (LMFA) BP: 10963 Niamey, NIGER In this article, we focus on the evolution of numerical solutions of degenerate parabolic hyperbolic equations in one spatial dimension with boundary conditions. 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