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An analysis of one difference scheme for the laplace equation in a singularly perturbed region

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Publication:3814710
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DOI10.1016/0041-5553(87)90063-2zbMATH Open0663.65093OpenAlexW2091136843MaRDI QIDQ3814710

Vladimir B. Andreev

Publication date: 1987

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(87)90063-2



zbMATH Keywords

diffusion equationLaplace equationasymptotic analysissingularly perturbed domainNewton boundary condition


Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)



Related Items (1)

Analysis of five-point difference scheme on an oblique cross pattern in approximating the mixed problem for the Laplace equation






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