%0 Journal Article
%T Modied Laguerre Collocation Block Method for
Solving Initial Value Problems of First Order Ordinary
Dierential Equations
%A A. O. Owolanke
%A O. K. Ogunbamike
%A O. T. Amumeji
%A T. G. Okedayo
%J New name: ISSN: Past name: Past ISSN: Frequency: Journal DOI: Prof. Tian-Xiao He Dr. Paul Bracken Prof. Jia Li
%D 2018
%R 10.9734/JAMCS/2018/42357
%X 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 at grid points. Numerical examples of initial value problems (IVPs) of ordinary differential equations (ODEs) were solved using the derived methods, and it is observed that the results obtained converged faster and the consistency and the zero stability are validated.
%U http://www.sciencedomain.org/abstract/26708