Accession Number : AD0674244
Title : THE ANALOG COMPUTER SOLUTION OF DIFFERENTIAL EQUATIONS OF THE FORM L(D)Y(T)=M(D)U(T).
Descriptive Note : Mechanical engineering rept.,
Corporate Author : NATIONAL RESEARCH COUNCIL OF CANADA OTTAWA (ONTARIO) DIV OF MECHANICAL ENGINEERING
Personal Author(s) : Birta,L. G.
Report Date : DEC 1967
Pagination or Media Count : 46
Abstract : The analog (or digital) computer solution of a linear differential equation of the form L(D)y(t) = M(D)u(t) is invariably obtained by solving an equivalent set of linear first-order differential equations. It is shown in this Report that if the polynomials L(D) and M(D) have a common factor, this equivalent set of first-order equations must be chosen in a particular manner. The initial conditions associated with the equivalent first-order system are intimately related to the given initial conditions on y and its derivatives. The fundamental equation embodying this interrelation is developed. (Author)
Descriptors : (*DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), ANALOG COMPUTERS, BOUNDARY VALUE PROBLEMS, MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), THEOREMS, CANADA
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE