Accession Number : AD0764526

Title :   A Numerical Technique for Solving Stiff Ordinary Differential Equations Associated with Reactive Flow Problems.

Descriptive Note : Final rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : Young,T. R. ; Boris,J. P.

Report Date : JUL 1973

Pagination or Media Count : 23

Abstract : An efficient and widely applicable numerical integration technique was developed to calculate the time dependent solutions of stiff ordinary differential equations associated with chemically reactive flows. A significant improvement in efficiency over the classical methods has been attained by the use of a combined second-order predictor iterated-corrector scheme which invokes an asymptotic treatment for equations which the scheme determines are stiff. The method is self-starting (i.e., does not depend on previously calculated values of the functions or derivatives). Further, since the error per step can be estimated, an appropriate time step is automatically chosen to give accurate results. (Author)

Descriptors :   (*REACTION KINETICS, *DIFFERENTIAL EQUATIONS), NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, ASYMPTOTIC SERIES

Subject Categories : Physical Chemistry
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE