• Corpus ID: 229340527

Existence results and iterative method for solving a fourth order nonlinear integro-differential equation

@article{DangQuang2020ExistenceRA,
  title={Existence results and iterative method for solving a fourth order nonlinear integro-differential equation},
  author={A DangQuang and Dang Quang Long},
  journal={ArXiv},
  year={2020},
  volume={abs/2012.11351}
}
In this paper we consider a class of fourth order nonlinear integrodifferential equations with Navier boundary conditions. By the reduction of the problem to operator equation we establish the existence and uniqueness of solution and construct a numerical method for solving it. We prove that the method is of second order accuracy and obtain an estimate for total error. Some examples demonstrate the validity of the obtained theoretical results and the efficiency of the numerical method. 
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