Record Detail
Advanced Search![No image available for this title](./images/default/image.png)
Text
An efficient linear scheme to approximate nonlinear diffusion problems
This paper deals with nonlinear diffusion problems including the Stefan problem, the porous medium equation and cross-diffusion systems. A linear discrete- time scheme was proposed by Berger, Brezis and Rogers [RAIRO Anal. Numér. 13 (1979) 297–312] for degenerate parabolic equations and was extended to cross-diffusion systems by Murakawa [Math. Mod. Numer. Anal. 45 (2011) 1141–1161]. There is a constant stability parameter μ in the linear scheme. In this paper, we propose a linear discrete-time scheme replacing the constant μ with given functions depend-ing on time, space and species. After discretizing the scheme in space, we obtain an easy-to-implement numerical method for the nonlinear diffusion problems. Conver-
gence rates of the proposed discrete-time scheme with respect to the time increment are analyzed theoretically. These rates are the same as in the case where μ is con-stant. However, actual errors in numerical computation become significantly smaller if varying μ is employed. Our scheme has many advantages even though it is very easy-to-implement, e.g., the ensuing linear algebraic systems are symmetric, it requires low computational cost, the accuracy is comparable to that of the well-studied nonlinear schemes, the computation is much faster than the nonlinear schemes to obtain the
same level of accuracy.
File Attachment
Availability
EB00000003217K | Available |
Detail Information
Series Title |
-
|
---|---|
Call Number |
-
|
Publisher | : ., |
Collation |
-
|
Language | |
ISBN/ISSN |
-
|
Classification |
NONE
|
Content Type |
E-Jurnal
|
Media Type |
-
|
---|---|
Carrier Type |
-
|
Edition |
-
|
Subject(s) | |
Specific Detail Info |
-
|
Statement of Responsibility |
Hideki Murakawa
|
Other version/related
No other version available
OPAC
RECORD DETAIL
Back To Previous
Hari Lahir Pancasila: Ajang Mengenalkan Keragaman Suku Bangsa Budaya Indonesia
Universitas Jember menggelar Upacara Bendera Peringatan Hari Lahir Pancasila 1 Juni 2024. Upacara kali ini memiliki konsep yang berbeda dari tahun sebelumnya. Jika pada tahun sebelumnya hanya jajaran pimpinan yang menggunakan pakaian adat, namun tahun ini Mahasiwa, Dosen dan Tenaga...
BENGKEL SASTRA: MENGASAH BAKAT KEPENULISAN PUISI SANTRI JEMBER
Selasa (28/5), Santri se-Kabupaten Jember melakukan Library Tour di UPA Perpustakaan Universitas Jember. Kegiatan ini termasuk dalam serangkaian acara Bengkel Sastra yang dilaksanakan oleh Balai Bahasa Provinsi Jawa Timur. Kegiatan Bengkel Sastra dengan Tema “Penulisan Puisi Bagi Santri ...
EKSITSPACE: AJANG EKSPRESI SENI DAN LITERASI
Eksitspace kembali digelar pada Senin 27 Mei 2024. Eksitspace kali ini merupakan yang pertama kali digelar pada tahun 2024 yang juga dilaksanakan secara rutin tiap tahunnya. Eksitspace nantinya akan meramaikan lingkungan pepustakaan setiap bulannya dengan menampilkan pertunjukan ...