The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems

The implementation of block algorithm for the direct solution of third order oscillatory problems of the form has been studied in this paper. The methodology is carried out using the procedure of interpolation and collocation. The analysis of the paper was analyzed. Also, on the applications, the results obtained shows that is highly efficient and can handle different equations for which the algorithm was designed for. This is because the computed solution matches the exact solution. In fact, the method obviously performed better than the ones with which we compared our results with. This shows that, the algorithm generates results very fast. Thus, there is economy of time in the computation.