This work presents a simplified steady state one dimensional heat transfer model for stabilized premixed flames in porous inert media. Two energy conservation equations describe the heat transfer process in solid and fluid regions of a porous burner. The thermophysical properties are considered constant and a plug flow is adopted. The stabilized premixed flame acts as a heat source in a specified section of the domain. The energy conservation equations are discretized by the finite volume method, using upwind scheme on the convective terms and central difference scheme on the diffusive terms. The linear systems of algebraic equations are solved by Tridiagonal Matrix Algorithm (TDMA). The results are compared with experimental and theoretica...