On the Analytic Solutions of a Special Boundary Value Problem for a Nonlinear Heat Equation in Polar Coordinates
Authors:
- 1 April 2018
- journal article
- Published by Pleiades Publishing Ltd in Journal of Applied and Industrial Mathematics
- Vol. 12 (2) , 255-263
Abstract
The paper addresses a nonlinear heat equation (the porous medium equation) in the case of a power-law dependence of the heat conductivity coefficient on temperature. The equation is used for...Keywords
This publication has 6 references indexed in Scilit:
- Discrete solutions for the porous medium equation with absorption and variable exponentsMathematics and Computers in Simulation, 2017
- Classical solutions and higher regularity for nonlinear fractional diffusion equationsJournal of the European Mathematical Society, 2017
- On the construction of heat wave in symmetric caseJournal of Physics: Conference Series, 2016
- Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative2003
- Mathematical Biology2002
- Approximate methods for solving nonlinear initial boundary-value problems based on special constructions of seriesRussian Journal of Numerical Analysis and Mathematical Modelling, 1993