Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet
In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The operational matrix of fractional-order integration...
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| Main Authors: | , , |
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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/10.1155/2017/2658124 |
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| _version_ | 1832568265675636736 |
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| author | Fuqiang Zhao Jiaquan Xie Qingxue Huang |
| author_facet | Fuqiang Zhao Jiaquan Xie Qingxue Huang |
| author_sort | Fuqiang Zhao |
| collection | DOAJ |
| description | In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The operational matrix of fractional-order integration is utilized to reduce the original problem to a system of linear algebraic equations, and then the numerical solutions obtained by our method are compared with those obtained by CAS wavelet method. Lastly, illustrated examples are included to demonstrate the validity and applicability of the technique. |
| format | Article |
| id | doaj-art-0ff85cb5b75649e780fa3a5c56df9e7b |
| 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-0ff85cb5b75649e780fa3a5c56df9e7b2025-02-03T00:59:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/26581242658124Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev WaveletFuqiang Zhao0Jiaquan Xie1Qingxue Huang2College of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, ChinaCollege of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, ChinaCollaborative Innovation Center of Taiyuan Heavy Machinery Equipment, Taiyuan, Shanxi 030024, ChinaIn the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The operational matrix of fractional-order integration is utilized to reduce the original problem to a system of linear algebraic equations, and then the numerical solutions obtained by our method are compared with those obtained by CAS wavelet method. Lastly, illustrated examples are included to demonstrate the validity and applicability of the technique.http://dx.doi.org/10.1155/2017/2658124 |
| spellingShingle | Fuqiang Zhao Jiaquan Xie Qingxue Huang Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet Discrete Dynamics in Nature and Society |
| title | Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet |
| title_full | Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet |
| title_fullStr | Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet |
| title_full_unstemmed | Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet |
| title_short | Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet |
| title_sort | numerical simulation of one dimensional fractional nonsteady heat transfer model based on the second kind chebyshev wavelet |
| url | http://dx.doi.org/10.1155/2017/2658124 |
| work_keys_str_mv | AT fuqiangzhao numericalsimulationofonedimensionalfractionalnonsteadyheattransfermodelbasedonthesecondkindchebyshevwavelet AT jiaquanxie numericalsimulationofonedimensionalfractionalnonsteadyheattransfermodelbasedonthesecondkindchebyshevwavelet AT qingxuehuang numericalsimulationofonedimensionalfractionalnonsteadyheattransfermodelbasedonthesecondkindchebyshevwavelet |