Accession Number : AD0669336

Title :   A NEW PREDICTOR-CORRECTOR METHOD FOR QUASILINEAR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATIONS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Casti,J. L. ; Kagiwada,H. H. ; Kalaba,R. E.

Report Date : APR 1968

Pagination or Media Count : 19

Abstract : An effective, efficient method is given, exploiting the techniques of invariant imbedding and quasilinearization, for numerically solving quasilinear first-order partial differential equations. It is known that certain nonlinear two-point boundary-value problems can be converted into initial-value problems for a related quasilinear first-order partial differential equation. It is observed, conversely, that the treatment of the partial differential equation can be reduced to solving the two-point boundary-value problem by using quasilinearization. Use of standard finite difference methods to predict, and quasilinearization to correct, can yield precision solutions for the partial differential equation. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES), BOUNDARY VALUE PROBLEMS, BOUNDARY VALUE PROBLEMS, NONLINEAR SYSTEMS, MAGNETOHYDRODYNAMICS, APPROXIMATION(MATHEMATICS), ITERATIONS

Subject Categories : Numerical Mathematics
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE