Approximate Solutions of Nonlinear Partial Differential Equations by Modified q-Homotopy Analysis Method
Joint Authors
Huseen, Shaheed N.
Grace, Said R.
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A modified q-homotopy analysis method (mq-HAM) was proposed for solving nth-order nonlinear differential equations.
This method improves the convergence of the series solution in the nHAM which was proposed in (see Hassan and El-Tawil 2011, 2012).
The proposed method provides an approximate solution by rewriting the nth-order nonlinear differential equation in the form of n first-order differential equations.
The solution of these n differential equations is obtained as a power series solution.
This scheme is tested on two nonlinear exactly solvable differential equations.
The results demonstrate the reliability and efficiency of the algorithm developed.
American Psychological Association (APA)
Huseen, Shaheed N.& Grace, Said R.. 2013. Approximate Solutions of Nonlinear Partial Differential Equations by Modified q-Homotopy Analysis Method. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-481519
Modern Language Association (MLA)
Huseen, Shaheed N.& Grace, Said R.. Approximate Solutions of Nonlinear Partial Differential Equations by Modified q-Homotopy Analysis Method. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-481519
American Medical Association (AMA)
Huseen, Shaheed N.& Grace, Said R.. Approximate Solutions of Nonlinear Partial Differential Equations by Modified q-Homotopy Analysis Method. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-481519
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481519
