Some Kinds Of Algorithms To Solve Differential Equations

In the paper, we study the proportion of delay diferential equations anddiferential-integral equations. These problems are commonly used in areas suchas mechanics, physics, biology, engineering and computational mathematics. inrecent years, this two types of equations become widely concerned.In this article, we frst analysis the linear proportion delay diferential equationsin the reproducing kernel space. relatively speaking, linear equations relativelysimple, this type’s solving methods more than others. But among the many waysthat only a small number of algorithms able to get better results. This articledescribes the reproducing kernel method is one of them, it is able to obtain highprecision approximate solution. In order to better illustrate the efectiveness of thereproducing kernel method, we also cited specifc numerical example to prove it.Secondly, using variational iteration algorithm for solving the approximate so-lution of proportion of delay diferential equations, As the calculation is simple,accurate, variational iteration method is widely used in various felds for solvinglinear and nonlinear problems by scholars. Because of its lagrange multiplier isapproximated, the more accurate it is, the more ideal results be get. The articledescribes two methods modifcations the variational iterative algorithm for solvingnon-linear equations, and to illustrate the efectiveness of the method by numerical.