TY - GEN
T1 - Investigation of numerical solution for fourth-order nonlocal problem by the reproducing kernel method
AU - Özen, Kemal
AU - Oruçoǧlu, Kamil
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
KW - Integral Boundary Condition
KW - Integro-Differential Equation
KW - Nonlocal Boundary Value Problem
KW - Reproducing Kernel Method
UR - http://www.scopus.com/inward/record.url?scp=81855216265&partnerID=8YFLogxK
U2 - 10.1063/1.3637822
DO - 10.1063/1.3637822
M3 - Conference contribution
AN - SCOPUS:81855216265
SN - 9780735409569
T3 - AIP Conference Proceedings
SP - 1164
EP - 1167
BT - Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
T2 - International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
Y2 - 19 September 2011 through 25 September 2011
ER -