A Class of Linear Multi-step Method for Direct Solution of Second Order Initial Value Problems in Ordinary Differential Equations by Collocation Method
N. S. Yakusak *
Department of Mathematics, Federal College of Education, Okene, Kogi State, Nigeria.
A. O. Owolanke
Department of Mathematics, Ondo State University of Science and Technology, Okitipupa, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this work, we proposed a linear multi-step method for solution of second order Initial Value Problems (IVP), using power series function as the trail solution for the approximation via collocation techniques. The resulting scheme is self-starting, consistent, zero-stable, convergent with good region of absolute stability. Numerical and graphical results are presented tabularly.
Keywords: Block methods, convergent, collocation, initial value problem.