Investigation of numerical solution for fourth-order nonlocal problem by the reproducing kernel method
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Dosyalar
Tarih
2011
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Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This work investigates the approximate solution for fourth-order multi-point boundary value problem represented by linear integro-differential equation involving nonlocal integral boundary conditions by using the reproducing kernel method (RKM). The investigated solution is represented in the form of a series with easily computable components in the reproducing kernel space. When the used algorithm for approximation is applied directly for the given original conditions, it can be very troublesome to compute the reproducing kernel of space. Therefore firstly, it is considered more appropriate conditions to be computed the kernel easily than original ones. Nextly, the original conditions are taken into account. Analysis is illustrated by a numerical example. The results demonstrate that the method is quite accurate and effective. © 2011 American Institute of Physics.
Açıklama
European Society of Computational Methods;in Sciences and Engineering (ESCMSE);The R. M. Santilli Foundation
International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 -- 19 September 2011 through 25 September 2011 -- Halkidiki --
International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 -- 19 September 2011 through 25 September 2011 -- Halkidiki --
Anahtar Kelimeler
Integral Boundary Condition, Integro-Differential Equation, Nonlocal Boundary Value Problem, Reproducing Kernel Method
Kaynak
AIP Conference Proceedings
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
1389
