Open AccessA 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems
Author(s) -
Ghulam Mustafa,
Dumitru Băleanu,
Syeda Tehmina Ejaz,
Kaweeta Anjum,
Ali Ahmadian,
Soheil Salahshour,
Массимилиано Феррара
Publication year - 2020
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2020346
Subject(s) - nonlinear system , boundary value problem , mathematics , subdivision , convergence (economics) , iterative method , scheme (mathematics) , binary number , newton's method , mathematical optimization , mathematical analysis , physics , arithmetic , archaeology , quantum mechanics , economics , history , economic growth
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 per-turbed 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 engi-neering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation.