Second Type Chebyshev Polynomial Approximation to Linearly Anisotropic Neutron Transport Equation in Slab Geometry

Abstract

Abstract: In one-dimensional slab geometry, the neutron transport equation was solved in one-speed and linearly anisotropic scattering by implementing the method of separation of variables. The part which depended on the position selected as an exponential function on the other hand the part that was relied upon the angle was chosen as Legendre polynomials or Chebyshev polynomials. The approximation we used is called as UN method because in the method second type Chebyshev polynomials were used. To solve these differential equations, an exponential function was suggested in both PN and UN method. By using the suggested function in differential equations, analytical equations in which ν eigenvalues can be calculated were obtained. These analytical equations were solved and ν eigenvalues calculated for different values (0≤c1

Keywords

• Slab geometry
• neutron transport equation
• Chebyshev polynomials
• Slab geometri
• nötron transport denklemi
• Chebyshev polinomları