A. O. Owolanke

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 & A. O. Owolanke · Journal of Advances in Mathematics and Computer Science · 2018

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, conv...

Open access Research Article 10.9734/JAMCS/2018/34424

Modified Laguerre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations

T. G. Okedayo, O. T. Amumeji, A. O. Owolanke & O. K. Ogunbamike · Journal of Advances in Mathematics and Computer Science · 2018

In this paper, an implicit k-step linear multi-step methods using the Laguerre polynomials as the basis functions is proposed. The given discrete methods were used in block and implemented for solving the initial value problems, being continuous interpolant derived and collocated...

Open access Research Article 10.9734/JAMCS/2018/42357