Numerical Solution of Higher Order Boundary Value Problems
Joint Authors
Siddiqi, Shahid S.
Iftikhar, Muzammal
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The aim of this paper is to use the homotopy analysis method (HAM), an approximating technique for solving linear and nonlinear higher order boundary value problems.
Using HAM, approximate solutions of seventh-, eighth-, and tenth-order boundary value problems are developed.
This approach provides the solution in terms of a convergent series.
Approximate results are given for several examples to illustrate the implementation and accuracy of the method.
The results obtained from this method are compared with the exact solutions and other methods (Akram and Rehman (2013), Farajeyan and Maleki (2012), Geng and Li (2009), Golbabai and Javidi (2007), He (2007), Inc and Evans (2004), Lamnii et al.
(2008), Siddiqi and Akram (2007), Siddiqi et al.
(2012), Siddiqi et al.
(2009), Siddiqi and Iftikhar (2013), Siddiqi and Twizell (1996), Siddiqi and Twizell (1998), Torvattanabun and Koonprasert (2010), and Kasi Viswanadham and Raju (2012)) revealing that the present method is more accurate.
American Psychological Association (APA)
Siddiqi, Shahid S.& Iftikhar, Muzammal. 2013. Numerical Solution of Higher Order Boundary Value Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-471388
Modern Language Association (MLA)
Siddiqi, Shahid S.& Iftikhar, Muzammal. Numerical Solution of Higher Order Boundary Value Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-471388
American Medical Association (AMA)
Siddiqi, Shahid S.& Iftikhar, Muzammal. Numerical Solution of Higher Order Boundary Value Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-471388
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471388