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Article information
2023 , Volume 28, ¹ 5, p.101-113
Liseikin V.D.
Theoretical and numerical analysis of problems with an interior turning point and a variable diffusion coefficient
The paper discusses a two-point boundary-value problem with an interior turning point and a quadratic diffusion coefficient. After establishing bounds on solution derivatives, layer-eliminating coordinate transformations and the corresponding layer-resolving grids are constructed. The problem is discretized on such grids using the upwind scheme. The convergence of the numerical solution is analyzed.
Keywords: small parameter, turning point, interior layer, convergence
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 problems with an interior turning point and a variable diffusion coefficient // Computational technologies. 2023. V. 28. ¹ 5. P. 101-113
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