Approximate Analytical Solutions of Fractional Perturbed Diffusion Equation by Reduced Differential Transform Method and the Homotopy Perturbation Method
Joint Authors
Cui, Zhoujin
Mao, Zisen
Yang, Sujuan
Yu, Pinneng
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The approximate analytical solutions of differential equations with fractional time derivative are obtained with the help of a general framework of the reduced differential transform method (RDTM) and the homotopy perturbation method (HPM).
RDTM technique does not require any discretization, linearization, or small perturbations and therefore it reduces significantly the numerical computation.
Comparing the methodology (RDTM) with some known technique (HPM) shows that the present approach is effective and powerful.
The numerical calculations are carried out when the initial conditions in the form of periodic functions and the results are depicted through graphs.
The two different cases have studied and proved that the method is extremely effective due to its simplistic approach and performance.
American Psychological Association (APA)
Cui, Zhoujin& Mao, Zisen& Yang, Sujuan& Yu, Pinneng. 2013. Approximate Analytical Solutions of Fractional Perturbed Diffusion Equation by Reduced Differential Transform Method and the Homotopy Perturbation Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1008642
Modern Language Association (MLA)
Cui, Zhoujin…[et al.]. Approximate Analytical Solutions of Fractional Perturbed Diffusion Equation by Reduced Differential Transform Method and the Homotopy Perturbation Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1008642
American Medical Association (AMA)
Cui, Zhoujin& Mao, Zisen& Yang, Sujuan& Yu, Pinneng. Approximate Analytical Solutions of Fractional Perturbed Diffusion Equation by Reduced Differential Transform Method and the Homotopy Perturbation Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1008642
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008642