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Exact Artificial Boundary Conditions for Quasi-Linear Problems in Semi-Infinite Strips

Yajun Chen, Qikui Du and Xian-Ming Gu

Journal of Mathematics, 2021, vol. 2021, 1-10

Abstract: In this paper, the exact artificial boundary conditions for quasi-linear problems in semi-infinite strips are investigated. Based on the Kirchhoff transformation, the exact and approximate boundary conditions on a segment artificial boundary are derived. The error estimate for the finite element approximation with the artificial boundary condition is obtained. Some numerical examples show the efficiency of this method.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1660711

DOI: 10.1155/2021/1660711

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