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The natural element method (NEM) is employed for solving radiative heat transfer problem in a two-dimensional enclosure containing an absorbing, emitting and isotropically scattering medium. Medium boundaries are considered to be opaque, diffuse as well as gray. The NEM referred to as natural neighbor Galerkin method is a new technique in the field of computational mechanics and can be considered as a meshless numerical method. Unlike most of other meshless methods such as element-free Galerkin method or those based on radial basis functions, the shape functions used in NEM, which are based on the Voronoi tesselation of a set of nodes, are strictly interpolant and the essential boundary conditions can be imposed by directly substituting the corresponding terms in the system of equations. Three types of radiative heat transfer problems are addressed. For pure radiation, studies are made for three …