• 제목/요약/키워드: Picard's and Seidel's methods

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NUMERICAL SOLUTION OF A GENERAL CAUCHY PROBLEM

  • El-Namoury, A.R.M.
    • Kyungpook Mathematical Journal
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    • 제28권2호
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    • pp.177-183
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    • 1988
  • In this work, two numerical schemes arc proposed for solving a general form of Cauchy problem. Here, the problem, to be defined, consists of a system of Volterra integro-differential equations. Picard's and Seiddl'a methods of successive approximations are ued to obtain the approximate solution. The convergence of these approximations is established and the rate of convergence is estimated in every case.

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