| Name: | Description: | Size: | Format: | |
|---|---|---|---|---|
| 384.85 KB | Adobe PDF |
Advisor(s)
Abstract(s)
The aim of this article is to establish the convergence and error bounds for the fully discrete solutions of a
class of nonlinear equations of reaction–diffusion nonlocal type with moving boundaries, using a linearized
Crank–Nicolson–Galerkin finite element method with polynomial approximations of any degree. A coordinate
transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code
with some existing moving finite element methods are investigated.
Description
Keywords
Nonlinear parabolic system Nonlocal diffusion term Reaction–diffusion Convergence Numerical simulation Crank–Nicolson Finite element method
Citation
Publisher
Wiley Periodicals