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