TY - JOUR
T1 - Crank-Nicolson Quasi-Wavelet Based Numerical Method for Volterra Integro-Differential Equations on Unbounded Spatial Domains
AU - Man Luo, Da Xu & Limei Li
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 283
EP - 294
PY - 2018
DA - 2018/02
SN - 3
DO - http://doi.org/10.4208/eajam.170813.131013a
UR - https://global-sci.org/intro/article_detail/eajam/10858.html
KW - Parabolic Volterra integro-differential equation, unbounded spatial domain, quasi-wavelet, Crank-Nicolson method.
AB - <p style="text-align: justify;">The numerical solution of a parabolic Volterra integro-differential equation
with a memory term on a one-dimensional unbounded spatial domain is considered.
A quasi-wavelet based numerical method is proposed to handle the spatial discretisation,
the Crank-Nicolson scheme is used for the time discretisation, and second-order
quadrature to approximate the integral term. Some numerical examples are presented
to illustrate the efficiency and accuracy of this approach.</p>