Solutions of First-Order Volterra Type Linear Integrodifferential Equations by Collocation Method

The numerical solutions of linear integrodifferential equations of Volterra type have been considered. Power series is used as the basis polynomial to approximate the solution of the problem. Furthermore, standard and Chebyshev-Gauss-Lobatto collocation points were, respectively, chosen to collocate the approximate solution. Numerical experiments are performed on some sample problems already solved by homotopy analysis method and finite difference methods. Comparison of the absolute error is obtained from the present method and those from aforementioned methods. It is also observed that the absolute errors obtained are very low establishing convergence and computational efficiency

Monte Carlos Simulation Approach to Population Dynamics of Sickle Cell Anaemia

Sickle Cell Anaemia (SCA) is a serious inherited blood disorder where the red blood cells, which carry oxygen around the body develop abnormally. The mathematical dynamics of the disease remain poorly understood, as such this paper investigates the mathematical inheritance pattern of the disease by the application of Monte Carlos simulation technique which is a complementary approach to physical simulation Smith’s statistical package was used as random number generator in which the simulated birth from different mating indicates that SS has an average of 2.4% neonates, AS has 29.9% and AA has 67.7%. We thus, conclude that eradication of SCA is not visible. However, curative measure of SCA remains paramount