Fully spectral methods for the solution of high order differential equations
| dc.contributor.author | Vaissmoradi, N. | |
| dc.contributor.author | Malek, A. | |
| dc.contributor.author | Momeni-Masuleh, S. H. | |
| dc.date.accessioned | 2024-07-12T20:50:25Z | |
| dc.date.available | 2024-07-12T20:50:25Z | |
| dc.date.issued | 2009 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In the recent years spectral methods are used for solving stiff and non-stiff partial differential equations and ordinary differential equations. Various types of spectral methods for steady and unsteady problems are proposed to solve stiff and non-stiff partial differential equations efficiently. In this article some schemes for solving stiff partial differential equations are derived. There are twofold: first method is based on Chebyshev polynomials for solving high-order boundary value problems. Second methods are based on Fourier-Galerkin and collocation spectral methods in space and Runge-Kutta, exponential time differencing, Taylor expansion and contour integral in time for solving stiff PDEs. Numerical results show the efficiency of proposed schemes. | en_US |
| dc.identifier.citation | Vaissmoradi, N., Malek, A. ve Momeni-Masuleh, S. H. (2009). Fully spectral methods for the solution of high order differential equations. Maltepe Üniversitesi. s. 297. | en_US |
| dc.identifier.endpage | 298 | en_US |
| dc.identifier.isbn | 9.78605E+12 | |
| dc.identifier.startpage | 297 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2337 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07702 | |
| dc.title | Fully spectral methods for the solution of high order differential equations | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
