A High-Order Alternating Group Iterative Algorithm

In this paper, by constructing a new high-order parallel alternating group iterative algorithm, we solve the two point boundary value problem. The main method is to dividing the system of different equations into a set of subsystem which can be solved individually in parallel and four order accurate. We have obtained the main results and given some examples to validate our results in addition. It shows that the analysis is correct and the algorithm is feasible and efficient.