Nuclear Science and Engineering / Volume 29 / Number 3 / September 1967 / Pages 337-353
Technical Paper / dx.doi.org/10.13182/NSE67-A17281
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The solution of a multidimensional, many-region boundary value problem is expressed, in each region, by a truncated, rapidly convergent series of functions that are solutions of the partial differential equation in the given region, i.e., “solution-functions”. The eigenvalues and the corresponding eigenfunctions of the problem are then found by a least mean square method. This scheme is applied by means of a computer to the calculation of eigenvalues and eigenfluxes in the diffusion approximation of a nuclear reactor of cylindrical geometry.