Reproducing kernel method for singularly perturbed one-dimensional initial-boundary value problems with exponential initial layers
type: Item
instance of: scholarly article
title: Reproducing kernel method for singularly perturbed one-dimensional initial-boundary value problems with exponential initial layers
zbMATH Open document ID: 1448.65079
author: Fazhan Geng
author: Z. Q. Tang
author: YongFang Zhou
published in: Qualitative Theory of Dynamical Systems
publication date: 2018-06-20T00:00:00Z
Mathematics Subject Classification ID: 65L11
Mathematics Subject Classification ID: 65L03
zbMATH DE Number: 6891604
zbMATH Keywords: reproducing kernel methods
zbMATH Keywords: exponential initial layers
zbMATH Keywords: initial-boundary value problems
zbMATH Keywords: singularly perturbed problems
MaRDI profile type: Publication
full work available at URL: s12346-017-0242-3
OpenAlex ID: W2615030674
Wikidata QID: Q115601506
cites work: A parameter-uniform numerical method for a Sobolev problem with initial layer
cites work: A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection-diffusion problem
cites work: An exponentially-fitted method for singularly perturbed, one-dimensional, parabolic problems
cites work: Numerical solutions of singularly perturbed one-dimensional parabolic convection-diffusion problems by the Bessel collocation method
cites work: Robust numerical scheme for singularly perturbed convection-diffusion parabolic initial-boundary-value problems on equidistributed grids
cites work: A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
cites work: An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers
cites work: On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems
cites work: Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems
cites work: A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems
cites work: Solving singular two-point boundary value problem in reproducing kernel space
cites work: Solving a nonlinear system of second order boundary value problems
cites work: Q3633379
cites work: A computational method for solving third-order singularly perturbed boundary-value problems
cites work: A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel method
cites work: A numerical method for singularly perturbed turning point problems with an interior layer
cites work: Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers
cites work: Piecewise reproducing kernel method for singularly perturbed delay initial value problems
cites work: Modified reproducing kernel method for singularly perturbed boundary value problems with a delay
cites work: Piecewise shooting reproducing kernel method for linear singularly perturbed boundary value problems
cites work: Theory of Reproducing Kernels
DOI: 10.1007/S12346-017-0242-3
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description: scientific article; zbMATH DE number 6891604