A Subdivision-Based Approach for Singularly Perturbed Boundary Value Problem
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Date
2020
Journal Title
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
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Abstract
A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. The numerical results along with the convergence, comparison and error estimation of the proposed approach are also presented.
Description
Mustafa, Ghulam/0000-0002-0441-8485; Ghaffar, Abdul/0000-0002-5994-8440; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320
Keywords
Singularly Perturbed, Boundary Value Problem, Ordinary Differential Equation, Interpolating Schemes, Subdivision Scheme, Subdivision scheme, Singular Perturbation, Artificial neural network, History, Economics, FOS: Mechanical engineering, Evolutionary biology, Mathematical analysis, Bandwidth (computing), Engineering, Differential equation, Numerical Methods for Singularly Perturbed Problems, Machine learning, QA1-939, FOS: Mathematics, Parameter-Robust Methods, Boundary value problem, Biology, Economic growth, Numerical Analysis, Computer network, Singularly perturbed, Radial basis function, Mechanical Engineering, Mathematical optimization, Partial differential equation, Applied mathematics, Interpolating schemes, Computer science, Archaeology, Function (biology), Physical Sciences, Convergence (economics), Subdivision, Basis function, Uniform convergence, Mathematics, Ordinary differential equation, Railway Engineering and Material Science, Numerical solution of boundary value problems involving ordinary differential equations, ordinary differential equation, singularly perturbed, subdivision scheme, Numerical solution of singularly perturbed problems involving ordinary differential equations, interpolating schemes, boundary value problem
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Mustafa, Ghulam...et al. (2020). "A subdivision-based approach for singularly perturbed boundary value problem", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
7
Source
Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 1
Scopus : 14
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