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Note on the solution of transport equation by Tau method and Walsh functions. (English) Zbl 1221.35021

Summary: We consider the combined Walsh function in the three-dimensional case. A method for the solution of the neutron transport equation in three-dimensional case by using the Walsh function, Chebyshev polynomials, and the Legendre polynomials is considered. We also present the Tau method, and show that it gives good approximations to exact solutions. This method is based on expansions of the angular flux in a truncated series of Walsh functions in the angular variable. The main characteristic of this technique is that it reduces the problems to solving systems of algebraic equations.

MSC:

35A25 Other special methods applied to PDEs
35F05 Linear first-order PDEs

References:

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