Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method
Joint Authors
Belhaouari, Samir Brahim
Rusagara, Innocent
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The analytical solution of the partial differential equation with time- and space-fractional derivatives was derived by means of the homotopy decomposition method (HDM).
Some examples are given and comparisons are made.
The evaluations show that the homotopy decomposition method is extremely successful and suitable.
The achieved results make the steadfastness of the HDM and its wider applicability to fractional differential equation obvious.
Additionally, the adding up implicated in HDM is exceptionally undemanding and uncomplicated.
It is confirmed that HDM is an influential and professional apparatus for FPDEs.
It was also established that HDM is supplementary well organized than the ADM, VIM, HAM, and HPM.
American Psychological Association (APA)
Rusagara, Innocent& Belhaouari, Samir Brahim. 2013. Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1031801
Modern Language Association (MLA)
Rusagara, Innocent& Belhaouari, Samir Brahim. Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1031801
American Medical Association (AMA)
Rusagara, Innocent& Belhaouari, Samir Brahim. Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1031801
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031801