Finite Difference Approximations for Nonlinear First Order Partial Differential Equations

@inproceedings{Baranowska2004FiniteDA,
  title={Finite Difference Approximations for Nonlinear First Order Partial Differential Equations},
  author={Anna Baranowska},
  year={2004}
}
Classical solutions of nonlinear partial differential equations are approximated in the paper by solutions of quasilinear systems of difference equations. Sufficient conditions for the convergence of the method are given. The proof of the stability of the difference problem is based on a comparison method. This new approach to the numerical solving of nonlinear equations is generated by a linearization method for initial problems. Numerical examples are given. 1. Difference systems… CONTINUE READING

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Z. Kowalski
Polon. Math., • 1966
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A difference method for the nonlinear partial differential equations

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Ann . Polon . Math . • 1966

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