Approximate Analytical Solution of a Class of Singular Differential Equations with Dirichlet Boundary Conditions by the Modified Adomian Decomposition Method

Abstract

In this paper, the difficulty associated with the numerical solution of a class of singular differential equation with dirichlet-boundary conditions is considered and solved by the Modified Adomian Decomposition Method (MADM), based on a new operator propose to remove its singularity . The new scheme is tested for some examples and the obtained results present. These results reveal the suitability and efficiency of the propose method for this class of problem especially when comparisons is made with the exact solution and other techniques in the literature.