Iterative method for solving a nonlinear fourth order boundary value problem

@article{Dang2010IterativeMF,
  title={Iterative method for solving a nonlinear fourth order boundary value problem},
  author={Quang A. Dang and Vu Thai Luan},
  journal={Computers & Mathematics with Applications},
  year={2010},
  volume={60},
  pages={112-121}
}
In the study of transverse vibrations of a hinged beam there arises a boundary value problem for fourth order ordinary differential equation, where a significant difficulty lies in a nonlinear term under integral sign. In recent years several authors considered finite approximation of the problem and proposed an iterative method for solving the system of nonlinear equations obtained. The essence of the iteration is the simple iteration method for a nonlinear equation, although this is not shown… CONTINUE READING
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