An Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs; Journal of Physics: Conference Series; Vol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018)
| Parent link: | Journal of Physics: Conference Series Vol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018).— 2019.— [012040, 8 p.] |
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| Autor principal: | |
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| Outros Autores: | , |
| Resumo: | Title screen The direct integration of second order initial and boundary value problems is considered in this paper. We employ a new class of orthogonal polynomials constructed as basis function to develop a two-step hybrid block method (2SHBM) adopting collocation technique. The recursive formula of the class of polynomials have been constructed, and then we give analysis of the basic properties of 2SHBM as findings show that the method is accurate and convergent. The boundary locus of the proposed 2SHBM shows that the new scheme is A-stable. |
| Idioma: | inglês |
| Publicado em: |
2019
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| Acesso em linha: | http://dx.doi.org/10.1088/1742-6596/1145/1/012040 http://earchive.tpu.ru/handle/11683/52905 |
| Formato: | Recurso Electrónico Capítulo de Livro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=659411 |