A robust numerical algorithm on harmonic mesh for parabolic singularly perturbed convection-diffusion problems with time delay

被引:0
作者
Gajendra Babu
M. Prithvi
Kapil K. Sharma
V.P. Ramesh
机构
[1] IAH,Department of Mathematics
[2] GLA University,Department of Mathematics
[3] South Asian University,Department of Mathematics
[4] Central University of Tamil Nadu,undefined
来源
Numerical Algorithms | 2022年 / 91卷
关键词
Harmonic mesh; Convection diffusion problems; Singularly perturbed problems; Uniform convergence; Robust numerical algorithm; Time delay;
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学科分类号
摘要
This article deals with the class of singularly perturbed convection-diffusion problem with time delay. A parameter uniform numerical method is developed, and its detailed analysis is done. To discretize the spatial domain, a harmonic mesh H(ℓ) is used, which gives more accurate results in comparison with Shishkin, S(ℓ) and Bakhvalov mesh. Numerical experiments are carried out to validate the proposed method. The computational results on H(ℓ) mesh have been compared with the other existing meshes like B-mesh, Shishkin mesh and S(ℓ) mesh.
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页码:615 / 634
页数:19
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