Journal of the Korean Society for Industrial and Applied Mathematics

  • 제7권2호
  • /
  • Pages.65-73
  • /
  • 2003
  • /
  • 1226-9433(pISSN)
  • /
  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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A NUMERICAL METHOD FOR SOLVING THE NONLINEAR INTEGRAL EQUATION OF THE SECOND KIND

  • Salama, F.A. (Farouk Ali Salama Alexandria University Faculty Education Department of Mathematics)
  • 발행 : 2003.12.25
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초록

In this work, we use a numerical method to solve the nonlinear integral equation of the second kind when the kernel of the integral equation in the logarithmic function form or in Carleman function form. The solution has a computing time requirement of $0(N^2)$, where (2N +1) is the number of discretization points used. Also, the error estimate is computed.

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