Extension of Khan’s Homotopy Transformation Method via Optimal Parameter for Differential Difference Equations
Joint Authors
Mohamed, Mohamed S.
Gepreel, Khaled A.
Al-Malki, Faisal A.
Altalhi, Nouf
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A new scheme, deduced from Khan’s homotopy perturbation transform method (HPTM) (Khan, 2014; Khan and Wu, 2011) via optimal parameter, is presented for solving nonlinear differential difference equations.
Simple but typical examples are given to illustrate the validity and great potential of Khan’s homotopy perturbation transform method (HPTM) via optimal parameter in solving nonlinear differential difference equation.
The numerical solutions show that the proposed method is very efficient and computationally attractive.
It provides more realistic series solutions that converge very rapidly for nonlinear real physical problems.
The results reveal that the method is very effective and simple.
This method gives more reliable results as compared to other existing methods available in the literature.
The numerical results demonstrate the validity and applicability of the method.
American Psychological Association (APA)
Mohamed, Mohamed S.& Gepreel, Khaled A.& Al-Malki, Faisal A.& Altalhi, Nouf. 2014. Extension of Khan’s Homotopy Transformation Method via Optimal Parameter for Differential Difference Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1039770
Modern Language Association (MLA)
Mohamed, Mohamed S.…[et al.]. Extension of Khan’s Homotopy Transformation Method via Optimal Parameter for Differential Difference Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1039770
American Medical Association (AMA)
Mohamed, Mohamed S.& Gepreel, Khaled A.& Al-Malki, Faisal A.& Altalhi, Nouf. Extension of Khan’s Homotopy Transformation Method via Optimal Parameter for Differential Difference Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1039770
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039770