a review of the optimization of the adomian decomposition method forsolving specific differential equations

So far, the adomian decomposition method has been widely used to solve avariety of differential equations taken. but in some cases it has been seen that this method isless accurate than the methods it has other hemotopic methods. since this method is arelatively general and powerful method for finding analytical-approximate solutions is one ofthe types of differential equations, in this article we have tried to applying the standard modelof this method, we present a new optimal method of adomian so that the accuracy of themethod significantly increase the decomposition of adomian beings .the main nature of thisiterative method relies on use capture is a controlling parameter in its convergence. in thisnew method, the controller parameter in convergence is similar to the parameter used in thehemotopic analytical method. this parameter is clearly defined it is possible to increase theaccuracy of the answer to an acceptable level. to determine this optimizer parameter from theleast squares method is used.