Convergence Order of the Reproducing Kernel Method for Solving Boundary Value Problems
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...
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| Veröffentlicht in: | Mathematical modelling and analysis 2016-07, Vol.21 (4), p.466-477 |
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| creator | Zhao, Zhihong Lin, Yingzhen Niu, Jing |
| description | 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. |
| doi_str_mv | 10.3846/13926292.2016.1183240 |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Adjoints boundary value problem Boundary value problems Convergence Convergence (Mathematics) convergence analysis Equivalence Kernel functions Kernels Mathematical analysis Mathematical models Mathematical research Operators (mathematics) reproducing kernel method |
| title | Convergence Order of the Reproducing Kernel Method for Solving Boundary Value Problems |
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