An Implicit Numerical Method for Fractional Diffusion Equations
-
- Koto Toshiyuki
- Graduate School of Information Science, Nagoya University
Bibliographic Information
- Other Title
-
- 分数階拡散方程式の陰的数値解法(理論)
- 分数階拡散方程式の陰的数値解法
- ブンスウカイ カクサン ホウテイシキ ノ インテキ スウチ カイホウ
Search this article
Description
This paper is concerned with a numerical method for solving a model equation of anomalous diffusion expressed with fractional integral with respect to the time variable t. In particular, a semi-discretization scheme derived from the application of the fractional trapezoidal rule proposed by Lubich in the mid 80's to the integral is examined. It is verified that the scheme converges in a special case where the exact solution is represented in a generalized Taylor form in fractional powers of t. Numerical examples are also presented which suggest convergence of the scheme in more general cases.(Theory)
Journal
-
- Transactions of the Japan Society for Industrial and Applied Mathematics
-
Transactions of the Japan Society for Industrial and Applied Mathematics 17 (1), 43-58, 2007
The Japan Society for Industrial and Applied Mathematics
- Tweet
Details 詳細情報について
-
- CRID
- 1390001205767574144
-
- NII Article ID
- 110006242310
-
- NII Book ID
- AN10367166
-
- ISSN
- 09172246
- 24240982
-
- NDL BIB ID
- 8786078
-
- Text Lang
- ja
-
- Data Source
-
- JaLC
- NDL
- CiNii Articles
-
- Abstract License Flag
- Disallowed