Numerical method for the solution of the third mixed boundary value problem for one-dimensional quasi-linear heat conductivity equation of a parabolic type based on the use of explicit difference scheme is given. Dependence of coefficients on temperature is overcome by the introduction of the new required function that is a primitive integral of conductivity.
Author Biographies
Arcady Vasilevich Herreinstein, South Ural State University
Cand. Sc. (Physics and Mathematics), Associate Professor, Applied Mathematics Department
Mikhail Zinatullaevich Khayrislamov, South Ural State University
Post-Graduate student, Applied Mathematics Department
