General Derivation of Finite Difference Schemes by Means of a Discrete Variation
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- Furihata Daisuke
- University of Tokyo
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- Mori Masatake
- University of Tokyo
Bibliographic Information
- Other Title
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- 偏微分方程式に対する差分スキームの離散的変分による統一的導出
- ヘンビブン ホウテイシキ ニ タイスル サブン スキーム ノ リサンテキ ヘン
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Abstract
A general method to derive a useful finite difference scheme for various kind of partial differential equations is proposed. The main idea is to start from discretization of the free energy of the physical system under consideration followed by a suitable discrete variation. The method can be applied to nonlinear partial differential equations in dissipative form or in conservative form and gives a difference scheme which conserves some important physical properties. Results of numerical experiments on the Cahn-Hilliard equation and on the KdV equation are shown.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 8 (3), 317-340, 1998
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390001205767776640
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- NII Article ID
- 110001883695
- 10003845606
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 4562695
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed
