Abstract
On the basis of the theory in similar structure of solution of the boundary value problem for a differential equation, this paper studies the boundary value problem of a three-region composite, Thomson equation. Firstly, this paper obtains similar structure related to solution of the boundary value problem of a three-region composite Thomson equation. Secondly, this paper points out the steps and flow chart about the algorithm for solving the boundary value problem. Finally, this paper gives an application of the obtained steps and draws the solution curve of the boundary value problem by executing the program on the computer. The obtained steps mentioned in this paper are not only simple and effective to resolve the complicated boundary value problem of a differential equation, but also useful to acquire the analytical solution of the model of composite reservoir.