A tau method for nonlinear dynamical systems

@article{Rodrigues2012ATM,
  title={A tau method for nonlinear dynamical systems},
  author={Maria Jo{\~a}o Rodrigues and Jos{\'e} Matos},
  journal={Numerical Algorithms},
  year={2012},
  volume={62},
  pages={583-600}
}
In this work we present a new Tau method for the solution of nonlinear systems of differential equations which are linear in the derivative of highest order and polynomial in the remaining. We avoid the linearization of the problem by associating to it a nonlinear algebraic system and combine a forward substitution with the Tau method. We develop an… CONTINUE READING