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Abstract: The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport equation to determine the diffusion coefficients of one-speed neutrons for selected values of the scattering parameters. Key words: First kind of Chebyshev polynomials, neutron transport equation, diffusion approximation Birinci Tip Chebyshevdoaj:a9f5efdff8dd4d09abf46a8e5c8cab3c fatcat:4525gxrws5c73jtf7qwzpyjqgm