A posteriori error estimation for a singularly perturbed Volterra integro-differential equation-Reference-Cited by-同舟云学术

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A posteriori error estimation for a singularly perturbed Volterra integro-differential equation

Published:2019-03-26 Issue:2 Volume:83 Page:549-563
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Huang Jian,Cen Zhongdi^ORCID,Xu Aimin,Liu Li-Bin

Funder

Project of Philosophy and Social Science Research in Zhejiang Province

Humanities and Social Sciences Planning Fund of Ministry of Education of China

Zhejiang Provincial Public Welfare Project of China

Major Humanities and Social Sciences Projects in Colleges and Universities of Zhejiang Province

Soft Science Foundation of Ningbo

Zhejiang Province Natural Science Foundation

National Natural Science Foundation of China

Natural Science Foundation of Guangxi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-019-00693-y.pdf

Reference26 articles.

1. Angell, J.S., Olmstead, W.E.: Singularly perturbed Volterra integral equations II. SIAM J. Appl. Math. 47, 1–14 (1987)

2. Chen, Y.: Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid. Adv. Comput. Math. 24, 197–212 (2006)

3. Das, P.: Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems. J. Comput. Appl. Math. 290, 16–25 (2015)

4. Diethlm, K.: The Analysis of Fractional Differential Equations. Springer, Berlin (2010)

5. Farrell, P.A., Hegarty, A.F., Miller, J.J.H., O’Riordan, E., Shishkin, G.I.: Robust Computational Techniques for Boundary Layers. Chapman & Hall Press, London (2000)

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