A Continuous Hybrid Scheme for Initial Value Problem of Third Order Ordinary Differential Equations

Abstract

In this work, we focus on development of solution for initial value problems of third order ordinary differential equations using a new class of constructed orthogonal polynomial of weight function w(x)=x valid in the interval [0,1],as basis function for the development of continuous hybrid scheme in a collocation and interpolation technique. The method was analyzed to investigate the basic properties, from the findings it shows that the method is accurate and convergent. Three examples were solved, the results obtained when compared with existing method are favourable.