Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet

Fuqiang Zhao, Jiaquan Xie and Qingxue Huang

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-10

Abstract:

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2658124

DOI: 10.1155/2017/2658124

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