Turkish Journal of Mathematics
DOI
10.3906/mat-1801-96
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.
First Page
3034
Last Page
3049
Recommended Citation
ADEWOLE, MATTHEW OLAYIWOLA and PAYNE, VICTOR FOLARIN
(2018)
"Linearized four-step implicit scheme for nonlinear parabolic interface problems,"
Turkish Journal of Mathematics: Vol. 42:
No.
6, Article 17.
https://doi.org/10.3906/mat-1801-96
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss6/17
