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Article information
2024 , Volume 29, ¹ 6, p.108-124
Liseikin V.D.
Theoretical and numerical analysis of semi-linear problem with two small parameters and turning points
The paper addresses a semi-linear problem with two small parameters and turn ing points. Estimates of solution derivatives and construction of layer-resolving grids based on layer-eliminating coordinate transformations and analyzes the convergence of numerical solutions obtained are given using an upwind scheme on the layer-resolving grids. Numerical experiments confirm that the upwind scheme on the proposed layer resolving grids is uniformly convergent.
Keywords: adaptive grid, power-of-type layer, hybrid-boundary layer, upwind scheme
doi: 10.25743/ICT.2024.29.6.007
Author(s):
Liseikin Vladimir Dmitrievich
Dr. , Professor
Position: Leading research officer
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, pr. Lavrentjeva, 6
Phone Office: (383) 330 73 73
E-mail: lvd@ict.nsc.ru
SPIN-code: 5198
Bibliography link:
Liseikin V.D. Theoretical and numerical analysis of semi-linear problem with two small parameters and turning points // Computational technologies. 2024. V. 29. ¹ 6. P. 108-124
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