dc.contributor.author | Sapagovas, Mifodijus | |
dc.contributor.author | Novickij, Jurij | |
dc.contributor.author | Čiupaila, Regimantas | |
dc.date.accessioned | 2023-09-18T16:18:39Z | |
dc.date.available | 2023-09-18T16:18:39Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/113069 | |
dc.description.abstract | We 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. | eng |
dc.format | PDF | |
dc.format.extent | p. 1-15 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.relation.isreferencedby | Scopus | |
dc.rights | Laisvai prieinamas internete | |
dc.source.uri | https://ejde.math.txstate.edu/Volumes/2022/44/sapagovas.pdf | |
dc.source.uri | https://talpykla.elaba.lt/elaba-fedora/objects/elaba:134959081/datastreams/MAIN/content | |
dc.title | Stability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.license | Creative Commons – Attribution – 4.0 International | |
dcterms.references | 34 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus universitetas | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.studydirection | A02 - Taikomoji matematika / Applied mathematics | |
dc.subject.en | nonlocal boundary conditions | |
dc.subject.en | parabolic equations | |
dc.subject.en | alternating direction method | |
dc.subject.en | stability of finite difference scheme | |
dcterms.sourcetitle | Electronic journal of diferential equations | |
dc.description.issue | no. 44 | |
dc.description.volume | vol. 2022 | |
dc.publisher.name | Texas State University | |
dc.publisher.city | San Marcos | |
dc.identifier.doi | 000822406500001 | |
dc.identifier.doi | 10.58997/ejde.2022.44 | |
dc.identifier.elaba | 134959081 | |