| dc.contributor.author | Hashemi, Mir Sajjad | |
| dc.contributor.author | İnç, Mustafa | |
| dc.contributor.author | Parto-Haghighi, Mohammad | |
| dc.contributor.author | Bayram, Mustafa | |
| dc.date.accessioned | 2023-11-27T19:57:19Z | |
| dc.date.available | 2023-11-27T19:57:19Z | |
| dc.date.issued | 2019 | en_US |
| dc.identifier.issn | 2190-5444 | |
| dc.identifier.uri | https://hdl.handle.net/11363/6541 | |
| dc.description.abstract | In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ξ to convert the
related variable u(x, t) into a new space with one extra dimension. Then by using a composition of the
group preserving scheme (GPS) and a semi-discretization of new variable, we approximate the solutions of
the problem. Finally, various numerical experiments are performed to illustrate the power and accuracy of
the given method. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY | en_US |
| dc.relation.isversionof | 10.1140/epjp/i2019-12845-1 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | LIE SYMMETRY ANALYSIS | en_US |
| dc.subject | DIFFERENTIAL-EQUATIONS | en_US |
| dc.subject | FUNDAMENTAL-SOLUTIONS | en_US |
| dc.subject | BOUSSINESQ | en_US |
| dc.subject | SOLVE | en_US |
| dc.title | On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method | en_US |
| dc.type | article | en_US |
| dc.relation.ispartof | European Physical Journal Plus | en_US |
| dc.department | Mühendislik ve Mimarlık Fakültesi | en_US |
| dc.identifier.volume | 134 | en_US |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.endpage | 8 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.institutionauthor | Bayram, Mustafa | |
