Numerical computation of fractional multidimensional diffusion equations by using a modified homotopy perturbation method
Joint Authors
Singh, Jagdev
Kumar, Sunil
Kumar, Devendra
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 17, Issue 0 (30 Apr. 2015), pp.20-26, 7 p.
Publisher
University of Bahrain College of Science
Publication Date
2015-04-30
Country of Publication
Bahrain
No. of Pages
7
Main Subjects
Abstract EN
The main aim of the present work is to present a numerical algorithm for solving fractional multi-dimensional diffusion equations which describes density dynamics in a material undergoing diffusion by using a modified homotopy perturbation method with the help of the sumudu transform.
The modified homotopy perturbation method is not limited to the small parameter, such as in the classical perturbation method.
The method gives an analytical solution in the form of a convergent series with easily computable components, requiring no linearization or small perturbation.
The numerical results obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.
American Psychological Association (APA)
Kumar, Devendra& Singh, Jagdev& Kumar, Sunil. 2015. Numerical computation of fractional multidimensional diffusion equations by using a modified homotopy perturbation method. Arab Journal of Basic and Applied Sciences،Vol. 17, no. 0, pp.20-26.
https://search.emarefa.net/detail/BIM-535332
Modern Language Association (MLA)
Kumar, Devendra…[et al.]. Numerical computation of fractional multidimensional diffusion equations by using a modified homotopy perturbation method. Arab Journal of Basic and Applied Sciences Vol. 17 (Apr. 2015), pp.20-26.
https://search.emarefa.net/detail/BIM-535332
American Medical Association (AMA)
Kumar, Devendra& Singh, Jagdev& Kumar, Sunil. Numerical computation of fractional multidimensional diffusion equations by using a modified homotopy perturbation method. Arab Journal of Basic and Applied Sciences. 2015. Vol. 17, no. 0, pp.20-26.
https://search.emarefa.net/detail/BIM-535332
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 25-26
Record ID
BIM-535332