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TASK Quarterly

GENERAL REMARKS ON DYNAMIC PROJECTION METHOD

Abstract

A brief history and a mathematical description of the dynamic projection operators technique is presented. An example of the general Cauchy problem for evolution equations in 1+ 1 dimensions is studied in detail. A boundary regime propagation is formulated in terms of operators and illustrated by the simplest one-dimensional diffusion equation. The problem of temperature waves is discussed.

Keywords:

partial differential equations, dynamical system, Cauchy problem, boundary regime propagation, diffusion equation, projection operator, idempotent operators, eigen mode, mode interaction

Details

Issue
Vol. 20 No. 2 (2016)
Section
Review
Published
2016-06-30
DOI:
https://doi.org/10.17466/TQ2016/20.2/A
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors

SERGEY LEBLE

Immanuel Kant Baltic Federal University, Department of Physics

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