Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-9002
Full metadata record
DC FieldValueLanguage
dc.contributor.authorYönet, Nilay-
dc.contributor.authorGürbüz, Burcu-
dc.contributor.authorGökçe, Aytül-
dc.date.accessioned2023-04-18T10:16:53Z-
dc.date.available2023-04-18T10:16:53Z-
dc.date.issued2023-
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/9019-
dc.description.abstractThere is currently an undeniable demand for solutions to environmental issues, especially water pollution. Water is essential for life and lakes constitute a big portion of water sources. In this study, we introduce a modified numerical approach to a dynamic ecological model focused on a lake pollution problem. The model includes three connected lakes with certain parameters and unknown functions such as pollution quantities and lake volumes. First, a preliminary mathematical analysis of the variables of each lake is presented taking into account the system components and parameters. Then, we present our numerical approach considering a series expansion to approximate the problem with the help of the truncated Taylor series. We describe a convergent technique, and finally, demonstrate the numerical simulations of the approach for the different unknowns with appropriate parameters. According to the results, the application of our alternative approach to the lake pollution problem is successful in terms of producing highly accurate information outputs about pollutant quantities a better approximation than the previously studied numerical approaches for the unknown functions of time. Furthermore, it is applicable to other similar ecological and environmental dynamic systems, and to related fields.en_GB
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (DFG)|491381577|Open-Access-Publikationskosten 2022–2024 Universität Mainz - Universitätsmedizin-
dc.language.isoengde
dc.rightsCC BY*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.subject.ddc510 Mathematikde_DE
dc.subject.ddc510 Mathematicsen_GB
dc.titleAn alternative numerical approach for an improved ecological model of interconnected lakes with a fixed pollutanten_GB
dc.typeZeitschriftenaufsatzde
dc.identifier.doihttp://doi.org/10.25358/openscience-9002-
jgu.type.dinitypearticleen_GB
jgu.type.versionPublished versionde
jgu.type.resourceTextde
jgu.organisation.departmentFB 08 Physik, Mathematik u. Informatikde
jgu.organisation.number7940-
jgu.organisation.nameJohannes Gutenberg-Universität Mainz-
jgu.rights.accessrightsopenAccess-
jgu.journal.titleComputational and applied mathematicsde
jgu.journal.volume42de
jgu.pages.alternative56de
jgu.publisher.year2023-
jgu.publisher.nameSpringerde
jgu.publisher.placeBerlin u.a.de
jgu.publisher.issn1807-0302de
jgu.organisation.placeMainz-
jgu.subject.ddccode510de
jgu.publisher.doi10.1007/s40314-023-02191-3de
jgu.organisation.rorhttps://ror.org/023b0x485-
Appears in collections:DFG-491381577-H

Files in This Item:
  File Description SizeFormat
Thumbnail
an_alternative_numerical_appr-20230417122517366.pdf1.02 MBAdobe PDFView/Open