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An Algorithm: Optimal Homotopy Asymptotic Method for Solutions of Systems of Second-Order Boundary Value Problems
Joint Authors
Mufti, Muhammad Rafiq
Iqbal, S.
Alkhalaf, Salem
Qureshi, Muhammad Imran
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Optimal homotopy asymptotic method (OHAM) is proposed to solve linear and nonlinear systems of second-order boundary value problems.
OHAM yields exact solutions in just single iteration depending upon the choice of selecting some part of or complete forcing function.
Otherwise, it delivers numerical solutions in excellent agreement with exact solutions.
Moreover, this procedure does not entail any discretization, linearization, or small perturbations and therefore reduces the computations a lot.
Some examples are presented to establish the strength and applicability of this method.
The results reveal that the method is very effective, straightforward, and simple to handle systems of boundary value problems.
American Psychological Association (APA)
Mufti, Muhammad Rafiq& Qureshi, Muhammad Imran& Alkhalaf, Salem& Iqbal, S.. 2017. An Algorithm: Optimal Homotopy Asymptotic Method for Solutions of Systems of Second-Order Boundary Value Problems. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1192098
Modern Language Association (MLA)
Mufti, Muhammad Rafiq…[et al.]. An Algorithm: Optimal Homotopy Asymptotic Method for Solutions of Systems of Second-Order Boundary Value Problems. Mathematical Problems in Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1192098
American Medical Association (AMA)
Mufti, Muhammad Rafiq& Qureshi, Muhammad Imran& Alkhalaf, Salem& Iqbal, S.. An Algorithm: Optimal Homotopy Asymptotic Method for Solutions of Systems of Second-Order Boundary Value Problems. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1192098
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192098