The solution of the heat equation by Adomian decomposition method

الملخص EN

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 new successive initial solutions can be give a more accurate solution.