Adjusted Adomian Decomposition Strategy. Adjusted Adomian Decomposition Strategy For Solving Some Ordinary Differential Equations

      Аннотация: Adomian decomposition method is a new technique and a effective method for solving linear and nonlinear ordinary differential equations. In this book, we gave adjusted Adomian decomposition strategy for solving kinds of ordinary differential equations. Also, we gave adjusting on Adomian decomposition strategy to handle the derived equations of Emden-Fowler type equations of various orders, which we worked to establish this new type from the Emden-Fowler equations, where we depended mainly on using different orders of different operator for studying this problem. We gave illustrations of this method by some examples for comparing the solutions of this method with exact solutions. The numerical results proved that the presented method is reliable, efficient and easy to implement. The obtained results illustrate the advantages of using the proposed method for these kinds of equations. The modified Adomian decomposition method is effective and efficient in finding the analytical and approximate solutions for a wide class of initial or boundary value problems.

Ключевые слова: Adomian Decomposition Method, Boundary value problems, Singular initial value problems