A Comparison on Solutions of Fifth-Order Boundary- Value Problems

Authors

Ali Akgül, Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey.Follow
Mustafa Inc, Department of Mathematics, Science Faculty, Fırat University, 23119 Elazı˘g, Turkey.Follow
Adem Kılıçman, Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia.Follow

Author Country (or Countries)

Malaysia.

Abstract

A fast and accurate numerical scheme for the solution of fifth-order boundary-value problems has been investigated in this work. We apply the reproducing kernel method (RKM) for solving this problem. The analytical results of the equations have been acquired in terms of convergent series with easily computable components. We compare our results with the numerical methods: Bspline method, decomposition method, variational iteration method, Sinc-Galerkin method and homotopy perturbation method. The comparison of the results with exact ones is made to confirm the validity and efficiency.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100236

Recommended Citation

Akgül, Ali; Inc, Mustafa; and Kılıçman, Adem (2016) "A Comparison on Solutions of Fifth-Order Boundary- Value Problems," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 36.
DOI: http://dx.doi.org/10.18576/amis/100236
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/36