On a New Approach To- Numerical Solution of a Class of Partial Differential Integral Equations of Transport Theory
نویسندگان
چکیده
Ill PREFACE This Memorandum is part of RAND's continuing search for new ways of utilizing the modern digital computer. The authors present a method for numerically Integrating nonlinear partial differential integral equations, which occur In such fields as radiative transfer and mathematical biology. The method Is then specifically applied to solving a basic equation of transport In a spherical shell. SUMMARY In this Memorandum, the authors show how to approximate a non-linear partial differential integral equation by a system of ordinary differential equations. A table of necessary constants is provided, and the results of a test calculation on an equation of radiative transfer in a spherical shell are described.
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