TY - JOUR
T1 - Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays
AU - Zhang , Kai
AU - Li , Jie
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 575
EP - 602
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m11147
UR - https://global-sci.org/intro/article_detail/aamm/137.html
KW - Volterra integral functional equation, multiple proportional delays, collocation
method.
AB - <p style="text-align: justify;">In this paper, we apply the collocation methods to a class of
Volterra integral functional equations with multiple proportional
delays (VIFEMPDs). We shall present the existence, uniqueness and
regularity properties of analytic solutions for this type of equations,
and then analyze the convergence orders of the collocation solutions
and give corresponding error estimates. The numerical results verify
our theoretical analysis.</p>