Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative
Joint Authors
Zhang, Cheng
Jiao, Ying
Cattani, Carlo
Yang, Ai-Ming
Jafari, Hossein
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-11
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The Fourier law of one-dimensional heat conduction equation in fractal media is investigated in this paper.
An approximate solution to one-dimensional local fractional Volterra integral equation of the second kind, which is derived from the transformation of Fourier flux equation in discontinuous media, is considered.
The Picard successive approximation method is applied to solve the temperature field based on the given Mittag-Leffler-type Fourier flux distribution in fractal media.
The nondifferential approximate solutions are given to show the efficiency of the present method.
American Psychological Association (APA)
Yang, Ai-Ming& Zhang, Cheng& Jafari, Hossein& Cattani, Carlo& Jiao, Ying. 2014. Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1033737
Modern Language Association (MLA)
Yang, Ai-Ming…[et al.]. Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1033737
American Medical Association (AMA)
Yang, Ai-Ming& Zhang, Cheng& Jafari, Hossein& Cattani, Carlo& Jiao, Ying. Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1033737
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033737
