A Steffensen’s type method for boundary-value problems

نویسندگان

  • Virginia Alarcón
  • Sergio Amat
  • Sonia Busquier
  • David J. López
  • Pantaleón D. Romero
  • Vicente F. Candela
چکیده

1 In this paper, a modified Steffensen's type iterative scheme for the numerical solution of a system of nonlinear equations is studied. Two convergence theorems are presented. The numerical solution of boundary-value problems by the multiple shooting method using the proposed iterative scheme is analyzed. A unified approach for enlarging the radius of convergence for Newton's method and applications. convergence of the secant method under mild convergence conditions of differentiability.

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تاریخ انتشار 2007