Numerical Solutions of Troesch and Duffing Equations by Taylor Wavelets
| dc.contributor.author | Özaltun, Gökçe | |
| dc.contributor.author | Gümgüm, Sevin | |
| dc.date.accessioned | 2023-06-19T20:56:19Z | |
| dc.date.available | 2023-06-19T20:56:19Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | The aim of this study is to obtain accurate numerical results for the Troesch and Duffing equations by using Taylor wavelets. Important features of the method include easy imple-mentation and simple calculation. The effectiveness and accuracy of the applied method is illustrated by solving these problems for several variables. One of the important vari-able is the resolution parameter which enables to use low degree polynomials and decrease the computational cost. Results show that the proposed method yields highly accurate solutions by using quite low degree polynomials. © 2023, Hacettepe University. All rights reserved. | en_US |
| dc.identifier.doi | 10.15672/hujms.1063791 | |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.scopus | 2-s2.0-85151984626 | |
| dc.identifier.uri | https://doi.org/10.15672/hujms.1063791 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/4729 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hacettepe University | en_US |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Duffing equation | en_US |
| dc.subject | Taylor wavelets | en_US |
| dc.subject | Troesch equation | en_US |
| dc.title | Numerical Solutions of Troesch and Duffing Equations by Taylor Wavelets | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | Şimşek, G.Ö., Department of Mathematics, Faculty of Arts and Science, Izmir University of Economics, Izmir, Turkey; Gümgüm, S., Department of Mathematics, Faculty of Arts and Science, Izmir University of Economics, Izmir, Turkey | en_US |
| gdc.description.endpage | 302 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 292 | en_US |
| gdc.description.volume | 52 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W4306406270 | |
| gdc.identifier.wos | WOS:001067735100011 | |
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| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | Taylor wavelets;Troesch equation;Duffing equation | |
| gdc.oaire.keywords | Mathematical Sciences | |
| gdc.oaire.keywords | Numerical solution of boundary value problems involving ordinary differential equations | |
| gdc.oaire.keywords | Troesch equation | |
| gdc.oaire.keywords | Duffing equation | |
| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | Numerical methods for wavelets | |
| gdc.oaire.keywords | Taylor wavelets | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Gümgüm, Sevin | |
| gdc.virtual.author | Özaltun, Gökçe | |
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