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
      Computer Hardware

Distribution Statement : APPROVED FOR PUBLIC RELEASE