dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Vabishchevich, Petr N. | |
dc.date.accessioned | 2023-09-18T20:14:56Z | |
dc.date.available | 2023-09-18T20:14:56Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0377-0427 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/148173 | |
dc.description.abstract | In many recent applications when new materials and technologies are developed it is important to describe and simulate new nonlinear and nonlocal diffusion transport processes. A general class of such models deals with nonlocal fractional power elliptic operators. In order to solve these problems numerically it is proposed (Vabishchevich, 2015) to consider equivalent local nonstationary initial value pseudo-parabolic problems. Previously such problems were solved by using the standard implicit backward and symmetrical Euler methods. In this paper we use the one-parameter family of three-level finite difference schemes for solving the initial value problem for the first order nonstationary pseudo-parabolic problem. The fourth-order approximation scheme is developed by selecting the optimal value of the weight parameter. The results of the theoretical analysis are supplemented by results of extensive computational experiments. | eng |
dc.format | PDF | |
dc.format.extent | p. 1-25 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | ScienceDirect | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.relation.isreferencedby | Scopus | |
dc.source.uri | https://www.sciencedirect.com/science/article/pii/S0377042719306326 | |
dc.source.uri | https://doi.org/10.1016/j.cam.2019.112627 | |
dc.source.uri | https://www.sciencedirect.com/journal/journal-of-computational-and-applied-mathematics/vol/372/suppl/C | |
dc.title | High order numerical schemes for solving fractional powers of elliptic operators | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 29 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.institution | Nuclear Safety Institute, Russian Academy of Sciences, Moscow North-Eastern Federal University, Yakutsk | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.vgtuprioritizedfields | IK0101 - Informacijos ir informacinių technologijų sauga / Information and Information Technologies Security | |
dc.subject.ltspecializations | L106 - Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies | |
dc.subject.en | elliptic operator | |
dc.subject.en | fractional power of an operator | |
dc.subject.en | finite element approximation | |
dc.subject.en | three-level schemes | |
dc.subject.en | stability of difference schemes | |
dcterms.sourcetitle | Journal of computational and applied mathematics | |
dc.description.volume | vol. 372 | |
dc.publisher.name | Elsevier | |
dc.publisher.city | Amsterdam | |
dc.identifier.doi | 1-s2.0-S0377042719306326 | |
dc.identifier.doi | S0377-0427(19)30632-6 | |
dc.identifier.doi | 0 | |
dc.identifier.doi | 000517659000037 | |
dc.identifier.doi | 10.1016/j.cam.2019.112627 | |
dc.identifier.elaba | 48424401 | |