APPLICATION OF A NEW APPROACH TO THE COMPUTATIONAL SOLUTION OF A SYSTEM OF TWO NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS,
Abstract
A new method for integrating certain nonlinear partial differential equations is given. This method is applied to a system of two equations, numerical results are provided, including per cent error, and FORTRAN listings are given. The nonlinear partial differential equations U sub t = UU sub x + VU sub y, U(X, Y, O) = F(X, Y); V sub t = UV sub x + VU sub y, V(X, Y, O) = G(X, Y) are similar to those of hydrodynamics, exhibiting shocks, and have a simple representation for the solution. A numerical method of integration is proposed which preserves boundedness and positivity. Time and memory requirements are small. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1964
- Accession Number
- AD0603343
Entities
People
- B. Kotkin
- Richard E. Bellman
- Robert E. Kalaba
Organizations
- RAND Corporation