Abstract
In this paper, we apply a quintic B-spline method for solving two-parameter second-order singularly perturbed boundary value problems. By using this method on piecewise uniform Shishkin mesh, we get a pentadiagonal linear system of equations. The convergence analysis has been established, and the method is shown to have uniform convergence of order four. Numerical results support the theoretical results. Relevance The work contained in this communication is mainly focused on the numerical solution of two-parameter singularly perturbed boundary value problems via quintic B-spline method. The proposed technique plays an important role to obtain the better numerical solution of these types of the problems and it is also used in image processing, computer graphics and surface fitting problems, etc.
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Mishra, H.K., Lodhi, R.K. Two-Parameter Singular Perturbation Boundary Value Problems Via Quintic B-Spline Method. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 92, 541–553 (2022). https://doi.org/10.1007/s40010-021-00759-4
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DOI: https://doi.org/10.1007/s40010-021-00759-4