Year 2019

• On the Matano Plane Position in Multicomponent Diffusion Couples

  Publication

  • K. Lademann
  • H. Leszczyński
  • K. Tkacz-Śmiech
  • B. Bożek
  • M. Zajusz
  • M. Danielewski

  - Nano Hybrids and Composites - Year 2019

  Even though several methods of diffusion analysis avoid a necessity for the Matano plane determination, the Matano plane locations are of interest in the multicomponent couples and when tracer experiments are performed. The positions of the Matano plane calculated from the concentration profiles should be exactly the same. However, due to experimental errors, the results can differ significantly. In the paper we consider Matano...

• On the Matano Plane Position in Multicomponent Diffusion Couples

  Publication

  • K. Lademann
  • H. Leszczyński
  • K. Tkacz-Śmiech
  • B. Bożek
  • M. Zajusz
  • M. Danielewski

  - Nano Hybrids and Composites - Year 2019

  Even though several methods of diffusion analysis avoid a necessity for the Matano plane determination, the Matano plane locations are of interest in the multicomponent couples and when tracer experiments are performed. The positions of the Matano plane calculated from the concentration profiles should be exactly the same. However, due to experimental errors, the results can differ significantly. In the paper we consider Matano...

Year 2017

• Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models

  Publication

  • M. Danielewski
  • H. Leszczyński
  • A. Szafrańska

  - Interdisciplinary Sciences-Computational Life Sciences - Year 2017

  Ternary diffusion models lead to strongly coupled systems of PDEs. We choose the smallest diffusion coefficient as a small parameter in a power series expansion whose components fulfill relatively simple equations. Although this series is divergent, one can use its finite sums to derive feasible numerical approximations, e.g. finite difference methods (FDMs).

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