An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh

The present work considers a nonlinear system of singularly perturbed delay differential equation whose each component of the solution has multiple layers. Here, we provide an a posteriori based convergence analysis for the adaptation of these layer phenomena. We derive a parameter uniform a posteri...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 81; no. 2; pp. 465 - 487
Main Author:	Das, Pratibhamoy
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2019 Springer Nature B.V
Subjects:	Algebra Algorithms Computer Science Convergence Differential equations Error analysis Exact solutions Mesh generation Nonlinear systems Numeric Computing Numerical Analysis Optimization Original Paper Partial differential equations Theory of Computation 35F25 65L05 A posteriori based convergence analysis Nonlinear equations Optimal convergent solution 35F20 Singular perturbation 34A34 Multiple layer phenomena 65Y20 Interior layer 34L30 Multi-scale phenomena Moving mesh algorithm A priori and a posteriori meshes 65L50 Delay problem System of differential equations 65J15 65L10
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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