On a difference scheme of exponential type for a nonlinear singular perturbation problem
type: Item
instance of: scholarly article
title: On a difference scheme of exponential type for a nonlinear singular perturbation problem
zbMATH Open document ID: 0577.65070
DOI: 10.1007/BF01389657
author: Koichi Niijima
published in: Numerische Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133012
review text: A difference scheme of exponential type, derived earlier by the author [ibid. 43, 175-198 (1984; Zbl 0565.65044)] for solving a nonlinear singular perturbation problem is analysed. The scheme is not of monotone type. It is shown that this scheme produces a unique solution that converges to the correct solution in \(L^ 1\) sense for all values of \(\epsilon\).
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 3924005
zbMATH Keywords: difference scheme
zbMATH Keywords: nonlinear singular perturbation problem
MaRDI profile type: Publication
cites work: Monotone Difference Schemes for Singular Perturbation Problems
cites work: A uniformly convergent difference scheme for a semilinear singular perturbation problem
cites work: Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
cites work: Q5563748
cites work: On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing
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description: scientific article; zbMATH DE number 3924005