بهبود روش تجزيه آدومين براي حل عددي معادلات ديفرانسيل معمولي

Improving the Adomian Decomposition Method for Ordinary Differential Equations

In Adomianʹs decomposition method the Taylor series of any function of independent variable in the equation around the initial point of the required interval uses to obtain the solution of differential equation as a polynomial. This causes that the solution become inaccurate at the end of the interval. In this paper two methods are introduced to resolve this problem and are examined through numerical examples.