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An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs
Joint Authors
Alaidarous, Eman S.
Ahmad, Fayyaz
al-Fhaid, A. S.
Ullah, Malik Zaka
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this research paper, we present higher-order quasilinearization methods for the boundary value problems as well as coupled boundary value problems.
The construction of higher-order convergent methods depends on a decomposition method which is different from Adomain decomposition method (Motsa and Sibanda, 2013).
The reported method is very general and can be extended to desired order of convergence for highly nonlinear differential equations and also computationally superior to proposed iterative method based on Adomain decomposition because our proposed iterative scheme avoids the calculations of Adomain polynomials and achieves the same computational order of convergence as authors have claimed in Motsa and Sibanda, 2013.
In order to check the validity and computational performance, the constructed iterative schemes are also successfully applied to bifurcation problems to calculate the values of critical parameters.
The numerical performance is also tested for one-dimension Bratu and Frank-Kamenetzkii equations.
American Psychological Association (APA)
Alaidarous, Eman S.& Ullah, Malik Zaka& Ahmad, Fayyaz& al-Fhaid, A. S.. 2013. An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-458177
Modern Language Association (MLA)
Alaidarous, Eman S.…[et al.]. An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-458177
American Medical Association (AMA)
Alaidarous, Eman S.& Ullah, Malik Zaka& Ahmad, Fayyaz& al-Fhaid, A. S.. An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-458177
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458177