Direct integrators of modified multistep method for the solution of third order boundary value problem in ordinary differential equations; IOP Conference Series: Materials Science and Engineering; Vol. 597 : Prospects of Fundamental Sciences Development (PFSD-2019)
| Parent link: | IOP Conference Series: Materials Science and Engineering Vol. 597 : Prospects of Fundamental Sciences Development (PFSD-2019).— 2019.— [012075, 6 p.] |
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| 企業作者: | |
| 其他作者: | , , , , |
| 總結: | Title screen In this paper, we propose an efficient modified multistep method for direct solution of boundary value problems (BVPs) using multistep collocation approach. The continuous form was evaluated at grid and off-grid points to obtain the multiple finite difference schemes. The basic properties, such as order and error constants, zero stability and convergence analysis of the proposed methods were investigated. Numerical experiment were performed to show the efficiency of the method and the results were compared with the existing methods in the literature. |
| 語言: | 英语 |
| 出版: |
2019
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| 主題: | |
| 在線閱讀: | https://doi.org/10.1088/1757-899X/597/1/012075 http://earchive.tpu.ru/handle/11683/56967 |
| 格式: | 電子 Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=661232 |
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| 200 | 1 | |a Direct integrators of modified multistep method for the solution of third order boundary value problem in ordinary differential equations |f U. Mohammed [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 12 tit.] | ||
| 330 | |a In this paper, we propose an efficient modified multistep method for direct solution of boundary value problems (BVPs) using multistep collocation approach. The continuous form was evaluated at grid and off-grid points to obtain the multiple finite difference schemes. The basic properties, such as order and error constants, zero stability and convergence analysis of the proposed methods were investigated. Numerical experiment were performed to show the efficiency of the method and the results were compared with the existing methods in the literature. | ||
| 461 | 1 | |0 (RuTPU)RU\TPU\network\2008 |t IOP Conference Series: Materials Science and Engineering | |
| 463 | 1 | |0 (RuTPU)RU\TPU\network\31112 |t Vol. 597 : Prospects of Fundamental Sciences Development (PFSD-2019) |o XVI International Conference of Students and Young Scientists, 23–26 April 2019, Tomsk, Russia |o [proceedings] |f National Research Tomsk Polytechnic University (TPU) ; eds. M. E. Semenov, A. M. Bogdan |v [012075, 6 p.] |d 2019 | |
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| 701 | 1 | |a Mohammed |b U. | |
| 701 | 1 | |a Semenov |b M. E. |c mathematician |c Associate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences |f 1978- |g Mikhail Evgenievich |3 (RuTPU)RU\TPU\pers\31889 |9 15961 | |
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