The Numerical Solution of Fourth Order Nonlinear Singularly Perturbed Boundary Value Problems Via 10-Point Subdivision Scheme Based Numerical Algorithm
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Date
2020
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Amer inst Physics
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GOLD
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Abstract
The subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point interpolating subdivision scheme is used to develop a numerical algorithm for the solution of fourth order nonlinear singularly perturbed boundary value problems (NSPBVPs). The studies of convergence and approximation order of the numerical algorithm are also presented. The solution of NSPBVPs is presented to see the efficiency of the algorithm.
Description
Ejaz, Syeda Tehmina/0000-0001-7405-1757; Mustafa, Ghulam/0000-0002-0441-8485
Keywords
History, Economics, QC1-999, Computational Mechanics, Geometry, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, Point (geometry), Numerical Methods for Singularly Perturbed Problems, FOS: Mathematics, Polygon (computer graphics), Isogeometric Analysis in Computational Engineering, Boundary value problem, Economic growth, Scheme (mathematics), Numerical Analysis, Physics, Mathematical optimization, Shape Optimization, Applied mathematics, Computer science, Algorithm, Archaeology, Boundary (topology), Physical Sciences, Convergence (economics), Nonlinear system, Telecommunications, Subdivision, Finite Difference Schemes, Mathematics, Numerical analysis, Frame (networking)
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Ejaz, Syeda Tehmina...et al. (2020). "The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm", AIP Advances, Vol. 10, No. 9.
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Q4
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Q3
OpenCitations Citation Count
8
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AIP Advances
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10
Issue
9
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