Advanced Analytic Self-Similar Solutions of Regular and Irregular Diffusion Equations
نویسندگان
چکیده
We study the diffusion equation with an appropriate change of variables. This is in general a partial differential (PDE). With self-similar and related Ansat\"atze we transform PDE to ordinary equation. The solutions belong family functions which are presented for case infinite horizon. In presentation accentuate physically reasonable solutions. also time dependent phenomena, where spreading may vary time. To describe process consider coefficients. obtained analytic all can be expressed Kummer's or Whittaker-type functions.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10183281