Convergence Order of the Reproducing Kernel Method for Solving Boundary Value Problems. Issue 4 (3rd July 2016)

• Record Type: Journal Article
• Authors: Zhao, Zhihong; Lin, Yingzhen; Niu, Jing
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 4(2016)
• Page Start: 466
• Page End: 477
• Publication Date: 2016-07-03
• Subjects: reproducing kernel method -- convergence analysis -- boundary value problem; 34G10 -- 68W40 -- 65L10; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1183240
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: In this paper, convergence rate of the reproducing kernel method for solving boundary value problems is studied. The equivalence of two reproducing kernel spaces and some results of adjoint operator are proved. Based on the classical properties of piecewise linear interpolating function, we provide the convergence rate analysis of at least second order. Moreover, some numerical examples showing the accuracy of the proposed estimations are also given.