An Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs
| Parent link: | Journal of Physics: Conference Series Vol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018).— 2019.— [012040, 8 p.] |
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| Sažetak: | 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. |
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2019
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| Online pristup: | http://dx.doi.org/10.1088/1742-6596/1145/1/012040 http://earchive.tpu.ru/handle/11683/52905 |
| Format: | Elektronički Poglavlje knjige |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=659411 |
| Sažetak: | 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. |
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| Digitalni identifikator objekta: | 10.1088/1742-6596/1145/1/012040 |