A singularly perturbed convection-diffusion problem with a moving pulse

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:321

Article

Gracia, J. L.¹  O'Riordan, E.² 

[1] Univ Zaragoza, Dept Appl Math, Zaragoza, Spain

[2] Dublin City Univ, Sch Math Sci, Dublin 9, Ireland

关键词: Singular perturbation;    Gaussian pulse;    Shishkin mesh;   

DOI  :  10.1016/j.cam.2017.03.003

来源: Elsevier

【 摘 要 】

A singularly perturbed parabolic equation of convection diffusion type is examined. Initially the solution approximates a concentrated source. This causes an interior layer to form within the domain for all future times. Using a suitable transformation, a layer adapted mesh is constructed to track the movement of the centre of the interior layer. A parameter uniform numerical method is then defined, by combining the backward Euler method and a simple upwinded finite difference operator with this layer-adapted mesh. Numerical results are presented to illustrate the theoretical error bounds established. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

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