Regression-based weight generation algorithm in neural network for solution of initial and boundary value problems

@article{Chakraverty2013RegressionbasedWG,
  title={Regression-based weight generation algorithm in neural network for solution of initial and boundary value problems},
  author={Snehashish Chakraverty and Susmita Mall},
  journal={Neural Computing and Applications},
  year={2013},
  volume={25},
  pages={585-594}
}
This paper introduces a new algorithm for solving ordinary differential equations (ODEs) with initial or boundary conditions. In our proposed method, the trial solution of differential equation has been used in the regression-based neural network (RBNN) model for single input and single output system. The artificial neural network (ANN) trial solution of ODE is written as sum of two terms, first one satisfies initial/boundary conditions and contains no adjustable parameters. The second part… CONTINUE READING

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