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Approximate Solutions of Nonlinear Heat Equation for Given Flow

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

The one-dimensional problem of the nonlinear heat equation is considered. We assume that the heat flow in the origin of coordinates is the power function of time and the initial temperature is zero. Approximate solutions of the problem are given. Convergence of approximate solutions is discussed.

Keywords

Cite

@article{arxiv.math-ph/0508003,
  title  = {Approximate Solutions of Nonlinear Heat Equation for Given Flow},
  author = {Mikhail A. Chmykhov and Nikolai A. Kudryashov},
  journal= {arXiv preprint arXiv:math-ph/0508003},
  year   = {2007}
}

Comments

7 pages, 1 figure