title: Numerical Identification of the Dependence of the Right Side of the Wave Equation on the Spatial Variable
metadata.name: dc.contributor.author
metadata.value: Gamzaev, Khanlar Mehbali oglu
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-10-06T14:13:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-10-06T14:13:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-09
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2023.303
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44138
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of identifying the multiplier of the right side of a one-dimensional wave equation depending on a spatial variable is considered. As additional information, the condition of the final redefinition is set. A discrete analogue of the inverse problem is constructed using the finite difference method. To solve the resulting difference problem, a special representation is proposed, with the help of which the difference problem splits into two independent difference problems. As a result, an explicit formula is obtained for determining the approximate value of the desired function for each discrete value of a spatial variable. The presented results of numerical experiments conducted for model problems demonstrate the effectiveness of the proposed computational algorithm.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: difference problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: final redefinition
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: identification of the right side of the wave equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: inverse problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: wave equation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Numerical Identification of the Dependence of the Right Side of the Wave Equation on the Spatial Variable
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 51-58.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44138/1/51-58.pdf
resources.format: Adobe PDF
resources.size: 730,93 kB