PROBABILITY-THEORETIC APPROACH TO THE SOLUTION OF THE EQUATION OF DIFFUSION
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Abstract
In work the new ideology of search and research of solutions of the equations of mathematical physics is offered. Proceeding from an essence of the solved task the quasistationary frequency function of some random variable connected with required function is entered. As an example diffusion in an infinite tube is considered. An asymptotic of differential distribution function and its parameters turn out by method of the moments by means of the equation, and also the related entry conditions. It is shown how the error when replacing the exact decision with its asymptotic expression is connected with distribution function excesses.
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References
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