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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| 団体著者: | |
| その他の著者: | , , , , |
| 要約: | 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. |
| 言語: | 英語 |
| 出版事項: |
2019
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1088/1757-899X/597/1/012075 http://earchive.tpu.ru/handle/11683/56967 |
| フォーマット: | 電子媒体 図書の章 |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=661232 |
| 要約: | 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. |
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| DOI: | 10.1088/1757-899X/597/1/012075 |