Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On exact solutions of the heat equation with a nonlinear source-sink of a special type. (Russian)
Authors: Yastrebov B. S.
Abstract
The work solves the model problem of exitation front propagation on nerve fibre. The dependence of the full ion current on the axon membrane is approximated by means of the exponentially-polynomial function. The exact solution of the running waves type equation of heat conductivity with nonlinear source of exponentially-polynomial kind has been found. The analitical expression for the profile and speed of the front have been obtained. The results of numerical analysis of experimental curve approximation by different model functions are given.Institutul de Fizică Aplicată al Academiei de Ştiinţe din Moldova
str. Academiei 5, Chişinău MD-2028, Moldova
str. Academiei 5, Chişinău MD-2028, Moldova
Contents
- Finite projection and dual of birth-death processes. (English)
- Behaviour of the stresses near plane wedge-shaped defects. (English)
- New classes of cubic systems with seven limit cycles. (English)
- Note on the stability of non-selfadjoint operator-difference schemes. (English)
- On exact solutions of the heat equation with a nonlinear source-sink of a special type. (Russian)
- About separable self-orthogonal $n$-operations. (English)
- Properties of topological modules free in some classes. I. (English)
- Quadratic systems with dicritical points. (Russian)
- On the structure of partitions of a space into polyhedral bodies. (Russian)
- Solvability of a model Cauchy problem for parabolic systems in spaces of generalized functions. (Russian)
