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A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed
Ghulam Mustafa1, Dumitru Baleanu2,3,4, Syeda Tehmina Ejaz5
1Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan.
Abstract:
In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C2 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.
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