A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems
Date
2020
Authors
Mustafa, Ghulam
Baleanu, Dumitru
Ejaz, Syeda Tehmina
Anju, Kaweeta
Ahmadian, Ali
Salahshour, Soheil
Ferrara, Massimiliano
Journal Title
Journal ISSN
Volume Title
Publisher
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
Keywords
Subdivision Schemes, Interpolation, Approximation, Singularly Perturbed Boundary Value Problem, Iterative Algorithm
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.