Nuclear Science and Engineering / Volume 50 / Number 3 / March 1973 / Pages 294-297
Technical Note / dx.doi.org/10.13182/NSE73-A28983
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The rigorous three-point nodal equations in plane geometry derived in an earlier paper on the basis of invariant imbedding theory have been written in a continuous form by passing to the limit of zero node size. It has been shown that the obtained second-order differential equation is equivalent to the sec-ond-order integrodifferential Boltzmann equation or the diffusion equation, depending on the approximation used in the calculation of response functions entering the nodal equations.