Numerical integrators for Stiff and Stiff oscillatory First Order initial value problems

Abstract

In this paper, efforts are geared towards the numerical solution of the first order initial value problem (I.V.P) of the form Y\' = F(X,Y), X∈[ a, b] , Y(a) = Y₀, where Y\' is the total derivative of Y with respect to X.. The scheme so developed for the stated equation is in the same line of thought as Fatunla (1980). It is of order 6, L-stable and exponentially fitted.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 385-390