Accession Number:

AD0669336

Title:

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

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Casti,J. L.
• Kagiwada,H. H.
• Kalaba,R. E.

Report Date:

1968-04-01

Pagination or Media Count:

19.0

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