Application of a New Approach to the Computational Solution of a System of Two Non-linear Partial Differential Equations.

by Richard Ernest Bellman, Robert E. Kalaba, Bella Kotkin

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A new method for integrating certain nonlinear partial differential equations was given in RM-3133-PR. This method is applied to a system of two equations, numerical results are provided, including percent error, and FORTRAN listings are given. The nonlinear partial differential equations 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. 16 pp.

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