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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.21 No.1

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A NUMERICAL ALGORITHM FOR SINGULAR MULTI-POINT BVPS USING THE REPRODUCING KERNEL METHOD

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2014, v.21 no.1, pp.51-60
https://doi.org/10.7468/jksmeb.2014.21.1.51
Jia, Yuntao
Lin, Yingzhen
Jia,, Y. , & Lin,, Y. (2014). A NUMERICAL ALGORITHM FOR SINGULAR MULTI-POINT BVPS USING THE REPRODUCING KERNEL METHOD. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 21(1), 51-60, https://doi.org/10.7468/jksmeb.2014.21.1.51

Abstract

In this paper, we construct a complex reproducing kernel space for singular multi-point BVPs, and skillfully obtain reproducing kernel expressions. Then, we transform the problem into an equivalent operator equation, and give a numerical algorithm to provide the approximate solution. The uniform convergence of this algorithm is proved, and complexity analysis is done. Lastly, we show the validity and feasibility of the numerical algorithm by two numerical examples.

keywords
singular multi-point BVPs, complex reproducing kernel space, operator equation, uniform convergence

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