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International Journal of Computer Mathematics Volume 88, 2011 - Issue 15
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Section B

Uniform convergence analysis of finite difference approximations for advection–reaction–diffusion problem on adaptive grids

Li-Nan Sun School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China; Zhengzhou Institute of Surveying and Mapping, Zhengzhou, 450052, China
,
Yu-Jiang Wu School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China
&
Ai-Li Yang School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China; Department of Mechanical Engineering, National University of Singapore, Singapore, 117576, SingaporeCorrespondence[email protected]
Pages 3292-3307 | Received 18 Dec 2010, Accepted 21 May 2011, Published online: 14 Jul 2011

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Lisha Wang, Wendi Qin & Xiaohua Ding. (2018) Dissipativity of θ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays. International Journal of Computer Mathematics 95:8, pages 1672-1687.
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Zhongdi Cen, Anbo Le & Aimin Xu. (2017) A posteriori error analysis for a fractional differential equation. International Journal of Computer Mathematics 94:6, pages 1185-1195.
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Articles from other publishers (3)

Quan Zheng & Zhongli Liu. (2024) Uniform convergence analysis of a new adaptive upwind finite difference method for singularly perturbed convection-reaction-diffusion boundary value problems. Journal of Applied Mathematics and Computing 70:1, pages 601-618.
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Antao Wang & Linan Sun. (2019) Uniform convergence analysis of finite difference approximations on adaptive mesh for general singular perturbed problems. Journal of Physics: Conference Series 1324:1, pages 012035.
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Yujiang Wu, Na Zhang & Jinyun Yuan. (2013) A robust adaptive method for singularly perturbed convection–diffusion problem with two small parameters. Computers & Mathematics with Applications 66:6, pages 996-1009.
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