A method of combustion and a reformer. The method includes combusting a fuel in a combustion region of an up-fired or down-fired reformer and forming non-uniform injection properties with a wall-bound burner. The combusting is performed in a combustion region by burners, wherein at least one of the burners is the wall-bound burner forming the non-uniform injection properties. The non-uniform injection properties generate a heat profile providing a first heat density proximal to a wall and a second heat density distal from the wall, the second heat density being greater than the first heat density. The non-uniform injection properties are formed by injection properties selected from an angle of one or more injectors, a flow rate of one or more injectors, an amount and/or location of oxidant injectors, an amount and/or location of fuel injectors, and combinations thereof.