New homotopy analysis transform method for solving multidimensional fractional diffusion equations
Joint Authors
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 27, Issue 1 (30 Jun. 2020), pp.26-44, 19 p.
Publisher
University of Bahrain College of Science
Publication Date
2020-06-30
Country of Publication
Bahrain
No. of Pages
19
Main Subjects
Abstract EN
In this paper, we introduce a new semi-analytical method called the homotopy analysis Shehu transform method (HASTM) for solving multidimensional fractional diffusion equations.
The proposed technique is a combination of the homotopy analysis method and the Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms.
Shehu transform is user-friendly, and its visualization is easier than the Sumudu, and the natural transforms.
The convergence analysis of the method is proved, and we provide some applications of the fractional diffusion equations to validate the efficiency and the high accuracy of the technique.
The results obtained using the HASTM are in complete agreement with the results of the existing techniques.
American Psychological Association (APA)
Maitama, Shehu& Zhao, Weidong. 2020. New homotopy analysis transform method for solving multidimensional fractional diffusion equations. Arab Journal of Basic and Applied Sciences،Vol. 27, no. 1, pp.26-44.
https://search.emarefa.net/detail/BIM-957369
Modern Language Association (MLA)
Maitama, Shehu& Zhao, Weidong. New homotopy analysis transform method for solving multidimensional fractional diffusion equations. Arab Journal of Basic and Applied Sciences Vol. 27, no. 1 (2020), pp.26-44.
https://search.emarefa.net/detail/BIM-957369
American Medical Association (AMA)
Maitama, Shehu& Zhao, Weidong. New homotopy analysis transform method for solving multidimensional fractional diffusion equations. Arab Journal of Basic and Applied Sciences. 2020. Vol. 27, no. 1, pp.26-44.
https://search.emarefa.net/detail/BIM-957369
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 42-44
Record ID
BIM-957369