Paper Info
Title
An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs.
Abstract
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.
Year
DOI
Venue
2013
10.1155/2013/259371
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Boundary value problem,Mathematical optimization,Nonlinear system,Polynomial,Iterative method,Mathematical analysis,Nonlinear differential equations,Decomposition method (constraint satisfaction),Rate of convergence,Mathematics,Bifurcation
Journal
2013
ISSN
Citations 
PageRank 
1110-757X
11
0.83
References 
Authors
10
4
Name
Order
Citations
PageRank
Eman S. Alaidarous1583.33
Malik Zaka Ullah2669.63
Fayyaz Ahmad34910.88
A. S. Al-Fhaid4414.43