Crank-Nicolson Quasi-Wavelet Based Numerical Method for Volterra Integro-Differential Equations on Unbounded Spatial Domains
Year: 2013
East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 4 : pp. 283–294
Abstract
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.170813.131013a
East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 4 : pp. 283–294
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Parabolic Volterra integro-differential equation unbounded spatial domain quasi-wavelet Crank-Nicolson method.
-
Sharp error estimate of a compact L1-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
Wang, Zhibo
Cen, Dakang
Mo, Yan
Applied Numerical Mathematics, Vol. 159 (2021), Iss. P.190
https://doi.org/10.1016/j.apnum.2020.09.006 [Citations: 44]