Paper Publications
Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation
Release Time:2019-10-26
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Institution:
数学学院
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Journal:
Journal of Scientific Computing
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Key Words:
The two-dimensional fractional cable equation; Finite difference; Stability and convergence; Inverse problem; Fractional sensitivity equation
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Summary:
In this paper, the two-dimensional fractional cable equation is considered, an efficient numerical method to obtain the identification of the fractional derivatives is investigated. Concerning the numerical treatment of the two-dimensional fractional cable equation, a fourth-order compact finite difference method is proposed, the stability and convergence of the compact difference method are discussed rigorously by means of the Fourier method. For the inverse problem of the identification of the fractional derivatives, Levenberg-Marquardt iterative method is employed, and the fractional sensitivity equation is obtained by means of the digamma function. Finally, numerical examples are presented to show the effectiveness of the proposed numerical method.
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First Author:
于波
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Correspondence Author:
Jiang Xiaoyun
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Document Code:
B820A47C831B4524833FB0CC78FE61C5
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Discipline:
Natural Science
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First-Level Discipline:
Mathematics
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Volume:
68
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Issue:
1
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Page Number:
252-272
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Translation or Not:
No
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Date of Publication:
2016-07
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Included Journals:
SCI
