Computer applications in engineering mathematics

engineering mathematics, accurate and fast numerical solution of two-point boundary value problems is necessary in many importantareaa, e.g. control and optimization theory, structuralmechanics, and atomic theory.A new splitting technique is developed to solve theItwo-point boundary value problems. The two-point differenceschemes are used to get two solutions of the problem attwo coarser grids than the required one. The two obtainedsolutions are combined using the Richardson extrapolation toobtain a solution at the coarsest grid, the accuracy of thisaolution is proved to be higher than the required one. Thedomain of the problem is splitted at the points of thecoarsest grid and new boundary conditions is defined atthese points. The obtained minor problems is then solvedwith the required step length and the solutions obtainedconstitute the sought solution. A significant save in storager quirements and execution time is attained due to the useof this technique. Results of computational experimentsindicate the advancement of the suggested technique oversome conventional techniques which depend on the direct useof difference schemes.