TY - JOUR
T1 - A Domain Decomposition Chebyshev Spectral Collocation Method for Volterra Integral Equations
AU - Wu , Hua
AU - Zhu , Yunzhen
AU - Wang , Hailu
AU - Xu , Lingfang
JO - Journal of Mathematical Study
VL - 1
SP - 57
EP - 75
PY - 2018
DA - 2018/04
SN - 51
DO - http://doi.org/10.4208/jms.v51n1.18.04
UR - https://global-sci.org/intro/article_detail/jms/11315.html
KW - Nonlinear Volterra integral equations, domain decomposition method, Chebyshev–collocation spectral method, convergence analysis.
AB - <p style="text-align: justify;">We develop a domain decomposition Chebyshev spectral collocation method
for the second-kind linear and nonlinear Volterra integral equations with smooth kernel
functions. The method is easy to implement and possesses high accuracy. In the
convergence analysis, we derive the spectral convergence order under the $L^∞$-norm
without the Chebyshev weight function, and we also show numerical examples which
coincide with the theoretical analysis.</p>