On an Approximation Model via Galerkin Method for a Parabolic Distributed Parameter System with Boundary Inputs
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- SAGARA Setsuo
- Faculty of Engineering, Kyushu University
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- IMAI Jun
- Faculty of Engineering, Kyushu University
Bibliographic Information
- Other Title
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- 境界入力をもつ放物型分布定数系のガラーキン法による近似モデルについて
- キョウカイ ニュウリョク オ モツ ホウブツガタ ブンプ テイスウケイ ノ ガ
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Abstract
For a parabolic distributed parameter system with boundary inputs, we consider a finite dimensional approximation scheme of Galerkin type and propose a method yielding approximation models with no static errors.<br>We illustrate a modal interpretation of the approximation model in the caseeigenfunction is employed for the coordinate function and show that the magnitude of the approximation errors of the higher order modes are proportional to the first-order differential of the system input.<br>We verify above results numerically both by simulation study in time domain and error evaluation in frequency domain, for an example of a constant parameter system.
Journal
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- Transactions of the Society of Instrument and Control Engineers
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Transactions of the Society of Instrument and Control Engineers 27 (12), 1366-1373, 1991
The Society of Instrument and Control Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390282679478177536
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- NII Article ID
- 130003790659
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- NII Book ID
- AN00072392
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- ISSN
- 18838189
- 04534654
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- NDL BIB ID
- 3737953
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed