Jordan — Gauss successive elimination method in solution of pneumohydraulic floatation water purification problems

Hydraulics

Ksenofontov, B.^1 ; Titov, K.^1 ; Firsova, A.^1

Bauman Moscow State Technical University, 5 Second Baumanskaya Street, Moscow

105005, Russia^1

关键词: Constant coefficients;    Differential equation systems;    Eigen-value;    Mathematical problems;    Norm form;    Successive elimination;    Water purification;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/492/1/012009/pdf
DOI  :  10.1088/1757-899X/492/1/012009

来源: IOP

【 摘 要 】

The emphasis of the article is a potential usage of Jordan - Gauss successive elimination method for reduction of a differential equation system (DES) to one differential equation and determining its solution providing all other solutions of DES. This approach is different from standard method of determining of eigen vectors and eigen values of matrix of DES, which are necessary to determine fundamental system of solutions of homogeneous differential equations of n-th order with constant coefficients denoted in norm form. In the article analytical solution is searched for in general form and can be used for other similar mathematical problems.