A 6-Point Subdivision Scheme and Its Applications for the Solution of 2nd Order Nonlinear Singularly Perturbed Boundary Value Problems
Loading...
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C-2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly perturbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd order NSPBVP arising from combustion, chemical reactor theory, nuclear engineering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation.
Description
Mustafa, Ghulam/0000-0002-0441-8485; Ferrara, Massimiliano/0000-0002-3663-836X; Ahmadian, Ali/0000-0002-0106-7050; Salahshour, Soheil/0000-0003-1390-3551
Keywords
Subdivision Schemes, Interpolation, Approximation, Singularly Perturbed Boundary Value Problem, Iterative Algorithm, iterative algorithm, subdivision schemes, QA1-939, approximation, interpolation, singularly perturbed boundary value problem, TP248.13-248.65, Mathematics, Biotechnology, Numerical solution of boundary value problems involving ordinary differential equations, Numerical solution of singularly perturbed problems involving ordinary differential equations
Fields of Science
0206 medical engineering, 02 engineering and technology
Citation
Mustafa, Ghulam...et al. (2020). "A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems", Mathematical Biosciences and Engineering, Vol. 17, No. 6, pp. 6659-6677.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
N/A
Source
Mathematical Biosciences and Engineering
Volume
17
Issue
6
Start Page
6659
End Page
6677
PlumX Metrics
Citations
Scopus : 0
PubMed : 1
Captures
Mendeley Readers : 5
Page Views
5
checked on Feb 23, 2026
Google Scholar™
