An Order Six Stormer-cowell-type Method for Solving Directly Higher Order Ordinary Differential Equations

This paper considers the development of an efficient Stormer-Cowell-Typed method for the direct solution of second order ordinary differential equations using the method of interpolation of the combination of Cheybeshev and Legendre polynomials approximate solution and collocation of the differential system to develop our scheme. The method derived was tested and confirmed to be consistent, stable within the region of absolute stability and zero-stable. The method was tested on some numerical examples and found to give a better approximation.