Sorry this is the correction post from the previous one.

actually this is my thesis abstract in mathematical research. I hope someone can leave your idea in order to make this sentences are easily understood and free from grammatical error. I really appreciate your contribution..
"This thesis is concerned for presenting an efficient code for solving first and higher order non-stiff initial value problems (IVPs) of ordinary differential equations (ODEs). The proposed code will consist of block method based on Adams type formula. This developed block method manage to solve first and higher order ODEs problem directly in a single code using variable step size strategy. In order to gain an efficient and reliable analysis, this developed block method will be implemented in the predictor corrector mode PE(CE)^t with simple iteration technique. Furthermore, this block method manage to compute several numerical solutions concurrently. The coefficients of this developed block method will be stored in the code in order to avoid the tedious and repetitive computation of the integration coefficients.
The stability properties of this developed block method is discussed for the method to be more practical use and the local truncation error of the proposed scheme is studied. Several examples of IVPs of ODEs are taken into account to emphasize the main features of the proposed method and the results obtained show that the code manage to produce good results for solving first and higher order ODEs.