Picard Approximation Method for Solving Nonlinear Quadratic Volterra Integral Equations

  •  O. Y. Ababneh    
  •  M. Mossa Al-sawalha    


In this paper, we use the Picard method for solving nonlinear quadratic Volterra integral equations by using approach of the self-canceling noise terms which is proposed by Wazwaz (Wazwaz, 2013) . The analytical solutions show that only two iterations are needed to obtain accurate approximate solutions.To illustrate the ability and reliability of the method, some examples
are given, revealing its effectiveness and simplicity.

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