چکیده

So far the Adomian decomposition method has been widely used to solve a variety of differential equations Taken. But in some cases it has been seen that this method is less accurate than the methods It has other hemotopic methods. Since this method is a relatively general and powerful method for Finding analytical-asymptotic solutions is one of the types of differential equations in this article we have tried to Applying the standard model of this method we present a new optimal method of Adomian so that the accuracy of the method Significantly increase the decomposition of human beings. The main nature of this iterative method relies on use Capture is a controlling parameter in its convergence. In this new method the controller parameter in Convergence is similar to the parameter used in the hemotopic analytical method. This parameter is clearly defined It is possible to increase the accuracy of the answer to an acceptable level. To determine this optimizer parameter from the least squares method is used.

کليدواژه ها

Adomian decomposition method Fractional order differential equations Analytical methods- asymptotic optimization

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الیسا ربیعی , 1400 , مروری بر بهینه سازی روش تجزیه آدومیان برای حل معادلات دیفرانسیل خاص Review of the optimization of the Adomian decomposition method for solving specific differential equations , اولین کنفرانس بین المللی ریاضیات و کاربردها