• 제목/요약/키워드: singular multi-point BVPs

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

  • Jia, Yuntao;Lin, Yingzhen
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제21권1호
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    • pp.51-60
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    • 2014
  • 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.