Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636302 | Applied Mathematics and Computation | 2007 | 11 Pages |
Abstract
Based upon shooting method, we set up a numerical method for approximating solutions and fold bifurcation solutions of second order multi-point boundary value problems. We prove the equivalence of the regularity of solutions and simple fold bifurcation solutions between the numerical method and the multi-point boundary value problems. Many numerical experiments are carried out to illustrate the theoretical analysis, from which we explore that the fold bifurcation phenomenon are generic in multi-point boundary value problems although there is no theoretical analysis in the literature so far.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yongkui Zou, Qingwan Hu, Ran Zhang,