Linearized four-step implicit scheme for nonlinear parabolic interface problems

Matthew Olayiwola ADEWOLE; Victor Folarin PAYNE

Makale detayları

Linearized four-step implicit scheme for nonlinear parabolic interface problems

Yazarlar:

Matthew Olayiwola ADEWOLE | Victor Folarin PAYNE

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.3034-3049

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745728

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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 L2L2L^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.

Makale detayları

Linearized four-step implicit scheme for nonlinear parabolic interface problems

Yazarlar: Matthew Olayiwola ADEWOLE | Victor Folarin PAYNE

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.3034-3049

Belge Tipi: Makale

Yayın Tarihi: 11/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745728

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Matthew Olayiwola ADEWOLE | Victor Folarin PAYNE

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.3034-3049

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745728

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098