A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems
Date
2020
Journal Title
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Volume Title
Publisher
Amer inst Mathematical Sciences-aims
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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
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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.
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Q2
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Q2
Source
Volume
17
Issue
6
Start Page
6659
End Page
6677