Hristov J.2024-07-102024-07-102024-07-102024-07-102015-01-010354-983610.2298/TSCI140326074HSCOPUS_ID:84932186413https://rlib.uctm.edu/handle/123456789/338The paper presents a closed form approximate solution of the non-linear diffusion equation of a power-law non-linearity of the diffusivity developed by the heat-balance integral method. The main step in the initial transformation of the governing equation avoiding the Kirchhoff transformation is demonstrated. The consequent application of the integral method is exemplified by a solution of a Dirichlet problem with an approximate parabolic profile. Cases with predetermined positive integer and optimized non-integer exponents have been analyzed.enArticle