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 -