- PII
- S30345030S0374064125070108-1
- DOI
- 10.7868/S3034503025070108
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 61 / Issue number 7
- Pages
- 1000-1008
- Abstract
- The paper considers a one-dimensional problem for elliptic equations with nonstandard jump conditions on the inner boundary and a discontinuous solution. The integro-interpolation (balance) method is used to approximate the problem, including the junction condition on the inner boundary, which leads, in the case of Roben relations (the jump of the solution is proportional to the flux), to a four-point pattern. This difference scheme is used to solve the system of nonlinear Uzadel equations, which is the basic mathematical model at the microlevel for describing currents and fields in superconductors, including those with Josephson junctions. The results of calculations for the Abrikosov vortex problem are presented and the accuracy of the proposed approach is investigated, including for a simplified three-point scheme.
- Keywords
- разностная схема интегро-интерполяционный метод разрывное решение уравнение Узаделя
- Date of publication
- 07.12.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 34
References
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