Stability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions

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dc.contributor.authorSapagovas, Mifodijus
dc.contributor.authorNovickij, Jurij
dc.contributor.authorCiupaila, Regimantas
dc.date.accessioned2023-04-18T14:45:44Z
dc.date.available2023-04-18T14:45:44Z
dc.date.issued2022-06-30
dc.description.abstractWe consider an efficient finite difference method solving of two-dimensional parabolic equations with nonlocal conditions. The specific feature of the investigated problem is that the nonlocal condition contains the values of solution's derivatives at different points. We prove the stability of this method in specific energy norm. The main stability condition is that all eigenvalues of the corresponding difference problem are positive. Results of computational experiments are presented.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSapagovas, M., Novickij, J., & Ciupaila, R. (2022). Stability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions. <i>Electronic Journal of Differential Equations, 2022</i>(44), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16603
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNonlocal boundary conditions
dc.subjectParabolic equations
dc.subjectAlternating direction method
dc.subjectStability of finite difference scheme
dc.titleStability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions
dc.typeArticle

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