@Article{EAJAM-15-867,
author = {Chen , YanpingWang , Ruru and Qiao , Leijie},
title = {Crank-Nicolson ADI Finite Difference Method for Three-Dimensional Nonlinear Partial Integro-Differential Equations with Weak Singular Kernels},
journal = {East Asian Journal on Applied Mathematics},
year = {2025},
volume = {15},
number = {4},
pages = {867--889},
abstract = {<p style="text-align: justify;">The main objective of this study is to present a fast and efficient numerical
scheme for solving nonlinear integral differential equations with weak singular kernels in
three-dimensional domain. First, the temporal derivative and integral term are approximated by the Crank-Nicolson (CN) method and the second-order fractional quadrature
rule. After that the spatial discretization is carried out by combining the finite difference method and the alternating direction implicit (ADI) method, and the nonlinear
term are approximated using the Taylor expansion. The stability and convergence of
the proposed scheme are analyzed, followed by the verification of the theoretical results
through numerical experiments.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2024-088.301024},
url = {http://global-sci.org/intro/article_detail/eajam/24200.html}
}