Turkish Journal of Mathematics
Abstract
We present the solution of a second-order nonlinear parabolic interface problem on a quasiuniform triangular finite element with a linearized four-step implicit scheme used for the time discretization. The convergence of the scheme in $L^2$-norm is established under certain regularity assumptions using interpolation and elliptic projection operators. A numerical experiment is presented to support the theoretical result. It is assumed that the interface cannot be fitted exactly.
DOI
10.3906/mat-1801-96
Keywords
Four-step implicit, interface, almost-optimal, nonlinear parabolic equation
First Page
3034
Last Page
3049
Recommended Citation
ADEWOLE, M. O, & PAYNE, V. F (2018). Linearized four-step implicit scheme for nonlinear parabolic interface problems. Turkish Journal of Mathematics 42 (6): 3034-3049. https://doi.org/10.3906/mat-1801-96
