In produced paper numerical method for the solution of third boundary value problem for one-dimensional quasi-linear heat equation grounded on the use of explicit finite-difference scheme is offered. The coefficients’ dependence on temperature is overcome by introducing the new unknown function – a primitive integral of conduction. Test problem with known exact solution for numerical calculations is proposed.
Author Biographies
Mikhail Zinatullaevich Khayrislamov, South Ural State University
Post-Graduate student, Applied Mathematics Department
Arcady Wasilevich Herreinstein, South Ural State University
Cand. Sc. (Physics and Mathematics), Associate Professor, Applied Mathematics Department
