Abstract
In this paper, the Adomian Decomposition Method (ADM) is applying to heat equations subjected to a new technique treatment of initial boundary value problems by mixed initial and boundary conditions together to obtain a new initial solution at every iteration. This is achieved by handling homogeneous and non- homogeneous boundary value problem for one-dimensional heat equation. The structure of a new successive initial soIn this paper, the Adomian Decomposition Method (ADM) is applying to heat equations subjected to a new technique treatment of initial boundary value problems by mixed initial and boundary conditions together to obtain a new initial solution at every iteration. This is achieved by handling homogeneous and non- homogeneous boundary value problem for one-dimensional heat equation. The structure of a new successive initial solutions can be give a more accurate solution.lutions can be give a more accurate solution.