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

Richard Ernest Bellman, Robert E. Kalaba, Bella Kotkin

ResearchPublished 1964

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.

Document Details

Citation

Chicago Manual of Style

Bellman, Richard Ernest, Robert E. Kalaba, and Bella Kotkin, Application of a New Approach to the Computational Solution of a System of Two Non-linear Partial Differential Equations. Santa Monica, CA: RAND Corporation, 1964. https://www.rand.org/pubs/research_memoranda/RM4240.html.
BibTeX RIS

This publication is part of the RAND research memorandum series. The research memorandum series, a product of RAND from 1948 to 1973, included working papers meant to report current results of RAND research to appropriate audiences.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.