ON A NEW APPROACH TO THE NUMERICAL SOLUTION OF A CLASS OF PARTIAL DIFFERENTIAL INTEGRAL EQUATIONS OF TRANSPORT THEORY

Abstract

This Memorandum shows how to approximate a nonlinear 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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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1965
Accession Number
AD0617909

Entities

People

  • Richard E. Bellman
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • California
  • Coefficients
  • Computers
  • Differential Equations
  • Digital Computers
  • Equations
  • Gaussian Quadrature
  • Integral Equations
  • Integrals
  • Radiative Transfer
  • Reflection
  • Transport Ships
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.