Predictor-Corrector Linear Multistep Method for Direct Solution of Initial Value Problems of Second Order Ordinary Dierential Equations
S. J. Kayode *
Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
J. O. Adegboro
Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
*Author to whom correspondence should be addressed.
Abstract
In this paper, we considered method of interpolation of the approximate solution and collocation of the differential system to generate a continuous linear multistep method. The basic properties of the method was investigated and found to be zero stable, consistent, P-stable and convergent. The method was tested on numerical examples solved by the existing methods, our method was found to performed better in terms of accuracy.
Keywords: Consistent, interpolation, collocation, convergent, off-grid point, ordinary differential equation, predictor-corrector