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- Article name
- Jordan's method - Gauss in the solution of problems of water purification by flotation
- Authors
- KSENOFONTOV В. S., , kbsflot@mail.ru, MGTU named after N. E. Bauman, Moscow, Russia
TITOV K. V., , kvtito@mail.ru, Bauman Moscow State Technical University, Moscow, Russia
- Keywords
- water purification by flotation / multistage model of flotation / Cauchy's task / Jordan's method - Gauss
- Year
- 2018 Issue 1 Pages 23 - 28
- Code EDN
- Code DOI
- Abstract
- In article the emphasis is placed on possibility of use of a method of the consecutive Jordan's exceptions - Gauss at data of system of the differential equations (SDU) to one differential equation and its decision allowing after to receive all other solutions of SDU. Such approach differs from a standard method findings of own vectors and own numbers of a matrix of SDU necessary for search of fundamental system of solutions of the uniform differential equations the order n-go with constant coefficients which are written down in a normal form. In some cases SDU have the analytical decision. Therefore there are no bases to solve such systems, using difficult numerical methods, for example, a method of pro-race, a pripasovyvaniye and others. In article the analytical solution of SDU is looked for in a general view and can be used at the solution of other similar tasks.
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