Error estimation for the reproducing kernel method to solve linear boundary value problems

Authors:
X. Y. Li;B. Y. Wu
Affiliations:
Department of Mathematics, Changshu Institute of Technology, Suzhou, Jiangsu 215500, China;Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2013

Citing 7
Cited 1

Solving singular two-point boundary value problem in reproducing kernel space

Journal of Computational and Applied Mathematics
Solving singular boundary-value problems of higher even-order

Journal of Computational and Applied Mathematics
Numerical algorithm for parabolic problems with non-classical conditions

Journal of Computational and Applied Mathematics
Nonlinear Numerical Analysis in Reproducing Kernel Space

Nonlinear Numerical Analysis in Reproducing Kernel Space
New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions

Journal of Computational and Applied Mathematics
Solving the generalized regularized long wave equation on the basis of a reproducing kernel space

Journal of Computational and Applied Mathematics
Numerical solution of eighth order boundary value problems in reproducing Kernel space

Numerical Algorithms

A numerical method for singularly perturbed turning point problems with an interior layer

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	7.29

Visualization

Abstract

In the previous works, the authors presented the reproducing kernel method(RKM) for solving various boundary value problems. However, an effective error estimation for this method has not yet been discussed. The aim of this paper is to fill this gap. In this paper, we shall give the error estimation for the reproducing kernel method to solve linear boundary value problems.