Linearized four-step implicit scheme for nonlinear parabolic interface problems | Zendy

Matthew O. Adewole | Zendy; V. F. Payne | Zendy

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Linearized four-step implicit scheme for nonlinear parabolic interface problems

Author(s) -

Matthew O. Adewole,

V. F. Payne

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1801-96

Subject(s) - mathematics , discretization , norm (philosophy) , nonlinear system , convergence (economics) , interpolation (computer graphics) , scheme (mathematics) , finite element method , mathematical analysis , projection (relational algebra) , interface (matter) , algorithm , computer science , animation , physics , computer graphics (images) , bubble , quantum mechanics , maximum bubble pressure method , parallel computing , political science , law , economics , thermodynamics , economic growth

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 -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.

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