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A new numerical method to solve pantograph delay differential equations with convergence analysis
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| dc.contributor.author | Jafari, H.
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| dc.contributor.author | Mahmoudi, M.
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| dc.contributor.author | Noori Skandari, M. H.
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| dc.date.accessioned | 2021-03-01T04:20:07Z | |
| dc.date.available | 2021-03-01T04:20:07Z | |
| dc.date.issued | 2021-02-25 | |
| dc.identifier.citation | Jafari, H., Mahmoudi, M. & Noori Skandari, M.H. A new numerical method to solve pantograph delay differential equations with convergence analysis. Advances in Difference Equations 2021 Feb 25;2021(1) | en |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03293-0 | |
| dc.identifier.uri | http://hdl.handle.net/10500/27135 | |
| dc.description.abstract | The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations. At the first step, we transform the problem into a continuous-time optimization problem and then utilize a transferred Legendre pseudospectral method to discretize the problem. By solving this discrete problem, we can attain the pointwise and continuous estimated solutions for the major pantograph delay differential equation. The convergence of method has been considered. Also, numerical experiments are described to show the performance and precision of the presented technique. Moreover, the obtained results are compared with those from other techniques. | en |
| dc.format.extent | 1 online resource (12 pages) : color graphs | en |
| dc.rights | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Pantograph delay differential equations | en |
| dc.subject | Transferred Legendre pseudospectral method | en |
| dc.subject | Convergence analysis | en |
| dc.subject.ddc | 515.35 | |
| dc.subject.ddc | Functional differential equations | en |
| dc.subject.ddc | Convergence | en |
| dc.title | A new numerical method to solve pantograph delay differential equations with convergence analysis | en |
| dc.type | Article | en |
| dc.description.department | Mathematical Sciences | en |
| dc.date.updated | 2021-03-01T04:20:08Z | |
| dc.language.rfc3066 | en |
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Except where otherwise noted, this item's license is described as Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.