Abstract

An efficient algorithm for the computation of Riccati Differential Equations (RDEs) is formulated in this paper. The formulation is carried out with the aid of collocation and interpolation technique and the adoption of Laguerre polynomial as a basis function. This algorithm was applied on some modeled RDE to test its reliability and applicability. The results (both numerical and graphical) obtained show that the algorithm formulated are computationally reliable. Furthermore, basic properties of the algorithm formulated were analyzed. These properties include zero-stability, consistence, convergence and region of absolute stability.

Key words: Algorithm, computation, efficient, nonlinear, RDEs