Linearized four-step implicit scheme for nonlinear parabolic interface problems

Authors : Matthew Olayiwola Adewole, Victor Folarin Payne

Pages : 3034-3049

View : 11 | Download : 5

Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : Four-step implicit, interface, almost-optimal, nonlinear parabolic equation