The High-Order ADI Difference Method and Extrapolation Method for Solving the Two-Dimensional Nonlinear Parabolic Evolution Equations

The High-Order ADI Difference Method and Extrapolation Method for Solving the Two-Dimensional Nonlinear Parabolic Evolution Equations

In this paper, the numerical solution for two-dimensional nonlinear parabolic equations is studied using an alternating-direction implicit (ADI) Crank–Nicolson (CN) difference scheme. Firstly, we use the CN format in the time direction, and then use the CN format in the space direction before discre...

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Bibliographic Details
Main Authors: Xin Shen, Xuehua Yang, Haixiang Zhang
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematics
Subjects:
nonlinear evolution equation
finite difference method
alternate direction implicit
stability
convergence
Online Access:https://www.mdpi.com/2227-7390/12/22/3469
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