A weak Galerkin finite element method on temporal graded meshes for the multi-term time fractional diffusion equations
| dc.contributor.author | Toprakseven, Şuayip | |
| dc.date.accessioned | 2025-07-10T12:32:27Z | |
| dc.date.available | 2025-07-10T12:32:27Z | |
| dc.date.issued | 2022 | |
| dc.department | AÇÜ, Artvin Meslek Yüksekokulu, Muhasebe ve Vergi Uygulamaları Bölümü | |
| dc.description.abstract | We consider the multi-term time fractional diffusion equation on a bounded convex domain. We analyze the L1 method on a graded mesh in time to compensate for the weak singularity of the solution and a weak Galerkin finite element method in space discretization. The stability analyses are presented for both semi-discrete and fully-discrete schemes and we prove that two schemes are unconditionally stable. Error estimates in L2-norm and a discrete H1 equivalent norm for both schemes are rigorously derived. Further we discuss the optimal spatial order error estimates in L2-norm. Finally, we give some numerical experiments to show the efficiency of the proposed method. | |
| dc.identifier.doi | 10.1016/j.camwa.2022.10.012 | |
| dc.identifier.endpage | 120 | |
| dc.identifier.issn | 08981221 | |
| dc.identifier.scopus | s2.0-85141873043 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 108 | |
| dc.identifier.uri | https://hdl.handle.net/11494/5747 | |
| dc.identifier.volume | 128 | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Toprakseven, Şuayip | |
| dc.language.iso | en | |
| dc.publisher | Elsevier Ltd | |
| dc.relation.ispartof | Computers and Mathematics with Applications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/embargoedAccess | |
| dc.subject | Caputo derivative | |
| dc.subject | Graded mesh | |
| dc.subject | L1 methods | |
| dc.subject | Stability | |
| dc.subject | The multi-term time fractional diffusion equations | |
| dc.subject | Weak Galerkin finite-element method | |
| dc.title | A weak Galerkin finite element method on temporal graded meshes for the multi-term time fractional diffusion equations | |
| dc.type | Article |
