|
Mathematical Modeling
Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional
Boundary Conditions
I. V. Kudinov, V. P. Radchenko Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
With use of an integrated method of thermal balance on the basis of introduction of front of temperature indignation and additional boundary conditions the technique of a finding of analytical decisions of nonlinear problems of the non-stationary heat conductivity is considered, allowing to receive satisfactory accuracy of the decision in all range of change of number of Fourier. Decisions have a simple appearance of the sedate algebraic polynoms which are not containing special functions.
Keywords:
nonlinear problems, analytical methods, front of temperature indignation, additional boundary conditions, integral
of thermal balance.
Original article submitted 11/X/2009 revision submitted – 15/III/2010
Citation:
I. V. Kudinov, V. P. Radchenko, “Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional
Boundary Conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 162–170
Linking options:
https://www.mathnet.ru/eng/vsgtu743 https://www.mathnet.ru/eng/vsgtu/v120/p162
|
Statistics & downloads: |
Abstract page: | 573 | Full-text PDF : | 300 | References: | 56 | First page: | 1 |
|