Computation of blowing-up solutions for second-order differential equations using re-scaling techniques

Nabil Nassif (1) , Noha Makhoul-Karam (2, 3) , Yeran Soukiassian (1)

1 Department of mathematics [Beirut]
2 SAGE - Simulations and Algorithms on Grids for Environment
3 IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires

This paper presents a new technique to solve efficiently initial value ordinary differential equations of the second-order which solutions tend to have a very unstable behavior.

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Nabil Nassif, Noha Makhoul-Karam, Yeran Soukiassian. Computation of blowing-up solutions for second-order differential equations using re-scaling techniques. Journal of Computational and Applied Mathematics, 2009, 227 (1), pp.185-195. ⟨10.1016/j.cam.2008.07.020⟩. ⟨hal-00782467⟩