dc.contributor.author | Čiegis, Raimondas | |
dc.date.accessioned | 2023-09-18T17:26:26Z | |
dc.date.available | 2023-09-18T17:26:26Z | |
dc.date.issued | 2009 | |
dc.identifier.issn | 1392-6292 | |
dc.identifier.other | (BIS)VGT02-000018682 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/123068 | |
dc.description.abstract | Hyperbolic heat conduction problem is solved numerically. The explicit and implicit Euler schemes axe constructed and investigated. It is shown that the implicit Euler scheme can be used to solve efficiently paxabolic and hyperbolic heat conduction problems. This scheme is unconditionally stable for both problems. For many integration methods strong numerical oscillations are present, when the initial and boundary conditions axe discontinuous for the hyperbolic problem. In order to regularize the implicit Euler scheme, a simple linear relation between time and space steps is proposed, which automatically introduces sufficient amount of numerical viscosity. Results of numerical experiments are presented. | eng |
dc.format | PDF | |
dc.format.extent | p. 11-24 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | VINITI | |
dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.title | Numerical solution of hyperbolic heat conduction equation | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 17 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
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.en | Hyperbolic heat conduction equation | |
dc.subject.en | Finite difference schemes | |
dc.subject.en | Stability | |
dc.subject.en | Weak-solution | |
dcterms.sourcetitle | Mathematical modelling and analysis: the Baltic journal on mathematical applications, numerical analysis and differential equations | |
dc.description.issue | no. 1 | |
dc.description.volume | Vol. 14 | |
dc.publisher.name | Technika | |
dc.publisher.city | Vilnius | |
dc.identifier.doi | 10.3846/1392-6292.2009.14.11-24 | |
dc.identifier.elaba | 3862386 | |