ε-Uniform Convergence of the Hybrid Difference Scheme on the Shishkin Mesh for Singularly Perturbed Problems

Quan Zheng; Xiao Li Feng; Xue Zheng Li

doi:10.4028/www.scientific.net/AMM.392.214

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 392ε-Uniform Convergence of the Hybrid Difference...

ε-Uniform Convergence of the Hybrid Difference Scheme on the Shishkin Mesh for Singularly Perturbed Problems

Abstract:

In this paper, we discuss the hybrid difference scheme on the Shishkin mesh for the singularly perturbed problems in 2-D. The ε-uniform pointwise convergence is proved by the comparison principle and barrier functions. The experiments support the theoretical result.

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Periodical:

Applied Mechanics and Materials (Volume 392)

Pages:

214-217

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.392.214

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Online since:

September 2013

Authors:

Quan Zheng, Xiao Li Feng, Xue Zheng Li

Keywords:

Hybrid Scheme, Shishkin Mesh, Singularly Perturb, Two Dimension, Uniform Convergence

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