A finite transform approach to the solution of radiation transport equation

Starting from the integral form of transport equation and defining a new transform G(x,μ,μ_m), the integration over space is carried out analytically resulting in an integral equation for F in μ. Use of Legendre polynomial for the solution of this equation is explored. The method is applicable to practical problems of radiation transport in multiregion, energy dependent systems with arbitrary degree of anisotropy. Its simplification for idealised systems and comparison with earlier work are indicated.