MODELING OF NONLINEAR PROCESSES BY SOLVING AN EQUATION OF HAMILTON JACOBI TYPE
MODELING OF NONLINEAR PROCESSES BY SOLVING AN EQUATION OF HAMILTON JACOBI TYPE
The qualitative properties of the problem Cauchy to the second order degenerate type parabolic equation is established using the solution of the corresponding to the equation Hamilton- Jacoby equation. It is solved the problem choosing of an appropriate initial approximation for the iteration process keeping properties of localization of solutions, a finite speed of perturbation of distribution. The results of numerical experiments are discussed.
non-linear problems, blow-up solutions, self-similar solutions, Hamilton- Jacoby equation, semi-infinite interval, numerical solution, self-similar equations.
non-linear problems, blow-up solutions, self-similar solutions, Hamilton- Jacoby equation, semi-infinite interval, numerical solution, self-similar equations.
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