TY - JOUR
T1 - Homotopy Continuation Methods for Stochastic Two-Point Boundary Value Problems Driven by Additive Noises
AU - Yanzhao Cao, Peng Wang & Xiaoshen Wang
JO - Journal of Computational Mathematics
VL - 6
SP - 630
EP - 642
PY - 2014
DA - 2014/12
SN - 32
DO - http://doi.org/10.4208/jcm.1405-m4374
UR - https://global-sci.org/intro/article_detail/jcm/8406.html
KW - Stochastic differential equations, Homotopy method, Shooting method.
AB - <p style="text-align: justify;">In this paper the homotopy continuation method for stochastic two-point boundary value problems driven by additive noises is studied. The existence of the solution of the homotopy equation is proved. Numerical schemes are constructed and error estimates are obtained. Numerical experiments demonstrate the effectiveness of the homotopy continuation method over other commonly used methods such as the shooting method.</p>