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• Difference functional inequalities and applications.

  Publikacja

  • A. Szafrańska

  - Opuscula Mathematica - Rok 2014

  The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.

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• Weighted difference schemes for systems of quasilinear first order partial functional differential equations

  Publikacja

  • A. Szafrańska

  - Mathematica Applicanda (Matematyka Stosowana) - Rok 2015

  The paper deals with initial boundary value problems of the Dirichlet type for system of quasilinear functional differential equations. We investigate weighted difference methods for these problems. A complete convergence analysis of the considered difference methods is given. Nonlinear estimates of the Perron type with respect to functional variables for given functions are assumed. The proof of the stability of difference problems...

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