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A combined Walsh function and Sumudu transform for solving the two-dimensional neutron transport equation. (English) Zbl 1130.45010
The paper is concerned with the investigation of the steady state equation associated to the two-dimensional linear neutron transport equation with isotropic scattering, subject to some boundary conditions. By using the Chebyshev polynomials, the authors reduce the study of this problem to a system of one-dimensional linear integro-differential equations. To solve this system, they expand the angular flux in terms of the Walsh functions in the angular variable and then, they apply the Sumudu transform to determine the spatial function coefficients.
MSC:
45K05Integro-partial differential equations
45L05Theoretical approximation of solutions of integral equations
82D75Nuclear reactor theory; neutron transport