Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations
Fractional order delay differential-algebraic equations have the characteristics of time lag and memory and constraint limit. These yield some difficulties in the theoretical analysis and numerical computation. In this paper, we are devoted to solving them by the waveform relaxation method. The corr...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/6306570 |
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| _version_ | 1832558794971807744 |
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| author | Hongliang Liu Yayun Fu Bailing Li |
| author_facet | Hongliang Liu Yayun Fu Bailing Li |
| author_sort | Hongliang Liu |
| collection | DOAJ |
| description | Fractional order delay differential-algebraic equations have the characteristics of time lag and memory and constraint limit. These yield some difficulties in the theoretical analysis and numerical computation. In this paper, we are devoted to solving them by the waveform relaxation method. The corresponding convergence results are obtained, and some numerical examples show the efficiency of the method. |
| format | Article |
| id | doaj-art-51f2fa17c9f440bf921a2f360227179c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-51f2fa17c9f440bf921a2f360227179c2025-02-03T01:31:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/63065706306570Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic EquationsHongliang Liu0Yayun Fu1Bailing Li2Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, ChinaHunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, ChinaHunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, ChinaFractional order delay differential-algebraic equations have the characteristics of time lag and memory and constraint limit. These yield some difficulties in the theoretical analysis and numerical computation. In this paper, we are devoted to solving them by the waveform relaxation method. The corresponding convergence results are obtained, and some numerical examples show the efficiency of the method.http://dx.doi.org/10.1155/2017/6306570 |
| spellingShingle | Hongliang Liu Yayun Fu Bailing Li Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations Discrete Dynamics in Nature and Society |
| title | Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations |
| title_full | Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations |
| title_fullStr | Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations |
| title_full_unstemmed | Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations |
| title_short | Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations |
| title_sort | discrete waveform relaxation method for linear fractional delay differential algebraic equations |
| url | http://dx.doi.org/10.1155/2017/6306570 |
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