Year: 2021
Author: Anning Liu, Zhongyi Huang
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 755–787
Abstract
Approximation methods for boundary problems for a fourth-order singularly perturbed partial differential equation (PDE) are studied. Using a suitable variable change, we reduce the problem to a second-order PDE system with coupled boundary conditions. Taking into account asymptotic expansions of the solutions, we discrete the resulting problem by a tailored finite point method. It is proved that the scheme converges uniformly with respect to the small parameter involved. Numerical results are consistent with the theoretical findings.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.291220.120421
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 755–787
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Tailored finite point method singular perturbation problem asymptotic analysis