Simulations of the Helmholtz equation at any wave number for adaptive grids using a modified central finite difference scheme

Hafiz Abdul WAJID

Makale detayları

Simulations of the Helmholtz equation at any wave number for adaptive grids using a modified central finite difference scheme

Yazarlar:

Hafiz Abdul WAJID

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.806-815

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746940

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper, a modified central  finite difference scheme for a three-point nonuniform grid is  presented for the one-dimensional homogeneous Helmholtz equation using  the Bloch wave property. The modified scheme provides highly accurate  solutions at the nodes of the nonuniform grid for very small to  very large range of wave numbers irrespective of how the grid is  adapted throughout the domain. A variety of numerical examples are  considered to validate the superiority of the modified scheme for a  nonuniform grid over a standard central finite difference scheme.

Makale detayları

Simulations of the Helmholtz equation at any wave number for adaptive grids using a modified central finite difference scheme

Yazarlar: Hafiz Abdul WAJID

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.806-815

Belge Tipi: Makale

Yayın Tarihi: 7/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746940

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Hafiz Abdul WAJID

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.806-815

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746940

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098