TY - JOUR
TI - An approximate analytical (integral-balance) solution to a nonlinear heat diffusion equation
AU - Hristov Jordan Y
JN - Thermal Science
PY - 2015
VL - 19
IS - 2
SP - 723
EP - 733
PT - Article
AB - The communication presents a closed form approximate solution of the  nonlinear diffusion equation of a power-law nonlinearity 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.