dc.contributor.author | Kurmanbek, Bakytzhan | |
dc.contributor.author | Erlangga, Yogi | |
dc.contributor.author | Amanbek, Yerlan | |
dc.date.accessioned | 2021-08-06T08:56:31Z | |
dc.date.available | 2021-08-06T08:56:31Z | |
dc.date.issued | 2021-06-08 | |
dc.identifier.citation | Kurmanbek, B., Erlangga, Y., & Amanbek, Y. (2021). Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators. Results in Applied Mathematics, 11, 100164. https://doi.org/10.1016/j.rinam.2021.100164 | en_US |
dc.identifier.issn | 2590-0374 | |
dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S2590037421000248?via%3Dihub | |
dc.identifier.uri | https://doi.org/10.1016/j.rinam.2021.100164 | |
dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/5665 | |
dc.description.abstract | This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation. Explicit non-recursive inverse matrix formulas and bounds of norms of the inverse matrix are derived for the clamped–free and clamped–clamped boundary conditions. The bound of norms is then used to construct a convergence bound for the fixed-point iteration of the form u=f(u) for solving the nonlinear equation. Numerical computations presented in this paper confirm the theoretical results. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier B.V. | en_US |
dc.relation.ispartofseries | Results in Applied Mathematics;Volume 11, August 2021, 100164 | |
dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
dc.subject | Type of access: Open Access | en_US |
dc.subject | Explicit formula | en_US |
dc.subject | Finite difference | en_US |
dc.subject | Fixed point method | en_US |
dc.subject | Near Toeplitz | en_US |
dc.subject | Nonlinear beam equation | en_US |
dc.subject | Pentadiagonal matrices | en_US |
dc.title | EXPLICIT INVERSE OF NEAR TOEPLITZ PENTADIAGONAL MATRICES RELATED TO HIGHER ORDER DIFFERENCE OPERATORS | en_US |
dc.type | Article | en_US |
workflow.import.source | science |
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