Accession Number : AD0684736

Title :   THE ESTIMATION OF VARIABLE PARAMETERS IN DIFFERENTIAL EQUATIONS BY QUASILINEARIZATION,

Corporate Author : KANSAS STATE UNIV MANHATTAN INST FOR SYSTEMS DESIGN AND OPTIMIZATION

Personal Author(s) : Lee,E. Stanley

Report Date : JAN 1968

Pagination or Media Count : 35

Abstract : A computational procedure for the estimation of constant parameters in differential equations by quasilinearization has been developed in a previous paper. The purpose of this paper is to extend the procedure to the estimation of variable parameters in differential equations. To illustrate the technique, the frequency-factor constant and the activation energy in the Arrhenius expression of a chemical reaction taking place in a tubular reactor with axial mixing are obtained.

Descriptors :   (*DIFFERENTIAL EQUATIONS, EXPERIMENTAL DATA), (*CHEMICAL ENGINEERING, REACTION KINETICS), NONLINEAR DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, DECISION THEORY, NUMERICAL METHODS AND PROCEDURES, ITERATIONS, CURVE FITTING, NUMERICAL INTEGRATION, CONCENTRATION(CHEMISTRY)

Subject Categories : Industrial Chemistry and Chemical Processing
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE